Well, I haven't got a full list myself, but here are a couple of types I know about. I might add to this later, as and when I have the time for it.
- Airspeed Ambassador/Elizabethan: one preserved aircraft on display at the Imperial War Museum in Duxford.
- Antonov AN-12: some 170+ still in service worldwide.
- Armstrong Whitworth AW.650/660 Argosy: several examples preserved in the UK, US and one in New Zealand, none airworthy.
- ATL Carvair: one airworthy, but not flown aircraft in South Africa, two others in the US (one to be returned to airworthiness).
- Avro Anson: several survivors on display in Canada, the UK and elswhere, including airworthy aircraft.
- Avro Lancaster/Lancastrian: several Lancasters preserved in the UK, Canada and France, including 2 airworthy. No Lancastrians preserved, but substantial remains of a crashed example found and possibly recovered in the Argentine Andes.
- Avro Tudor: nose and front fuselage of one Avro Ashton 2 (jet-converted Avro Tudor 2) preserved at Newark Air Museum, UK.
- Avro York: 2 preserved aircraft on display at the Imperial War Museum in Duxford, and the RAF Museum in Cosford. Substantial remains of one crashed aircraft known to be in existence in Canada.
- Avro Canada C102 Jetliner: Nose and cockpit section of the single prototype preserved in Canada.
- Baade 152: fuselage of one of the prototypes preserved and under restauration in Germany.
- BAC One-Eleven: 3 aircraft airworthy in the UK for development work. 6 or less aircraft reputed to be airworthy in Africa. Several airframes known to survive in Europe and the US. Type certificate for civilian air transport withdrawn in Europe in 2010.
- Boeing 80: one preserved example in the Museum of Flight in Seattle. Available on FlightSim: boeing80.zip
- Boeing 247: 4 survivors, one of which airworthy.
- Boeing 307: 1 intact survivor at the National Air and Space Museum, plus one partial survivor as a houseboat.
- Boeing 314: plans to survey and possibly recover 2 sunk aircraft. 1 full-sized (non-airworthy) replica on display in Ireland.
- Boeing 377: several survivors, either as C-97s, KC-97s or Guppy/Super Guppy aircraft, with one C-97 to be returned to airworthiness. No original 377s remaining in civilian configuration, but one C-97 to be converted to full civilian 377 standard.
- Boeing 707: several aircraft preserved or surviving worldwide; a small number still in service as freighters.
- Breda-Zappata BZ.308: single airframe broken up in Mogadishu in 1954, after being damaged beyond repair due to a landing accident.
- Breguet 763/765 Deux-Ponts: 1 Provence and 2 Saharas preserved in France.
- Bristol Britannia: 4 intact aircraft preservedin the UK; 6 Canadian-built Argusses preserved in Canada.
- Bristol 170 Freighter/Super Freighter: several Freighters preserved in Canada, Australia and New Zealand. No Super Freighters known to survive.
- Canadair C-4 North Star: some airframes still in existence, including one preserved at the Canada Aviation Museum in Ottawa, Ontario.
- Canadair CL-44: some airframes still in existence, but none properly preserved.
- Consolidated PBY Catalina: several preserved aircraft still in existence worldwide, including airworthy examples.
- Convairliners: several CV-240s, 340s, 440s, C-131s and T-29s preserved. Countless more still in service als turboprop conversions (CV-540, 580, 600, 640 and 5800)
- Curtiss C-46 Commando: several aircraft preserved worldwide, some still airworthy.
- De Havilland DH.89 Dragon Rapide: several survivors on display worldwide, including airworthy examples.
- De Havilland DH.104 Dove: several survivors on display worldwide, including airworthy examples.
- De Havilland DH.106 Comet: 1 complete and 1 partial Comet 1 preserved in the UK, as well as a Comet C.2. Several Comet 4s preserved in the US, Mexico, the UK and Germany, with one regularly performing high-speed taxi runs.
- De Havilland DH.114 Heron: several survivors on display worldwide, including airworthy examples.
- Dornier Do 24: 4 aircraft preserved. One re-engined with turbo-prop engines airworthy; one Dutch-based Do 24 restored to such a degree that it could easily be made airworthy again. One additional Do 24 fuselage known to exist, converted as a houseboat.
- Douglas C-74 Globemaster/C-124 Globemaster II: no C-74s preserved. Several C-124s preserved in the US.
- Douglas C-133 Cargomaster: at least 7 still in existance. Last one was airworthy until 2008, but has been grounded since.
- Douglas DC-2: 2 aircraft airworthy in the US and the Netherlands, with a third one under restauration to airworthiness in Australia. Several aircraft preserved or partly preserved in the Netherlands (derelict fuselage); Finland (1 substantially complete aircraft and one fuselage, both ex-Finnish Air Force); Australia (complete aircraft) and the US (complete aircraft at the USAF Museum in Dayton, Ohio).
- Douglas DC-3: bit of a no-brainer, I guess.
- Douglas DC-4: same as for DC-3.
- Douglas DC-5: Last surviving aircraft scrapped in Israel in 1955.
- Douglas DC-6/6B: numerous aircraft preserved worldwide. About 30 still active, mostly as freighters, in the US, Canada, and South America, with another 30 or so stored worldwide. Several more preserved.
- Douglas DC-7/7B/7C: some 6 still active, 4 as fire bombers, one in American Airlines colours, and one in Eastern Airlines colours. About half a dozen more stored worldwide, possibly airworthy but no longer flown.
- Douglas DC-8: some 100 aircraft still in service worldwide.
- Fairchild C-82: A couple of aircraft preserved, mainly in the US. At least 1 airworthy.
- Fairchild C-119: Several preserved worldwide. Limited number airworthy in the US.
- Fiat G.12/G.212: no surviving G.12s. One preserved G.212 in the Italian Air Force museum near Rome.
- Focke Wulf FW.200: one aircraft recovered from a fjord in Norway under restoration in Germany.
- Fokker B.4A: one complete fuselage held in Aviodrome museum.
- Fokker F.II: one complete full-scale replica in existence in Aviodrome museum.
- Fokker F.IV: one intact survivor at the National Air and Space Museum.
- Fokker F.VIIa: preserved aircraft on display at the Bonanzaville Air Museum, the Verkehrshaus in Luzern, and the Aviodrome.
- Fokker F.VIIa-3m: survivors on display at the Henry Ford Museum and the Sir Charles Kingsford Smith Memorial; one airworthy replica in existence.
- Fokker F.VIII: substantial remains in posession of Aviodrome museum.
- Fokker F.XI Universal: survivors on display in Melbourne, Australia and the New England Air Museum.
- Fokker Super Universal: Survivors and partial survivors on display in Canada and Alaska.
- Fokker F.XVIII: fuselage on display in Willemstad, Curaçao.
- Fokker F.27/Fairchild FH.227: several still in service worldwide.
- Ford Trimotor: 18 survivors in the US, 6 of which airworthy.
- General Aircraft Monospar: 1 survivor held by the Technical Museum in Helsingor, Denmark. Available on FlightSim: st25_v11.zip
- Handley-Page H.P. 42 Hannibal/Heracles: no original aircraft surviving. Project to build replica ongoing in the UK.
- Handley-Page Halifax/Halton: 3 Halifaxes preserved in the UK and Canada. No Haltons preserved.
- Handley-Page Hastings: 3 aircraft preserved in the UK, and a fourth one in Germany.
- Handley-Page Hermes: 1 aircraft partially preserved in the UK (fuselage). Remains of a second aircraft, force-landed in the Sahara after getting lost on route from Tripoli to Kano, is known to exist, but buried under at least 3 meters of sand.
- Handley-Page Dart Herald: 6 aircraft preserved. Last one withdrawn from service in 1999.
- Hawker Siddeley HS.121 Trident: 3 aircraft preserved, and 3 complete aircraft surviving in the UK; several more still known to exist in China.
- Hawker Siddeley HS.748: 44 still in service worldwide.
- Ilyushin IL-12: several aircraft preserved in Russia.
- Ilyushin IL-14: several aircraft preserved worldwide, with a small number still airworthy.
- Ilyushin IL-18: several aircraft preserved worldwide, with a very small number still in service!
- Junkers W.33: 1 complete survivor in Bremen, Germany; preserved fuselage on display in Australia.
- Junkers W.34: Three preserved aircraft on display in Canada, Colombia and Sweden. Calclassic era aircraft: the Swedish survivor served as an ambulance plane until the end of the 1960s!
- Junkers Ju 52: Several preserved aircraft on display worldwide, with at least 6 aircraft airworthy.
- Lisunov LI-2: Several aircraft preserved worldwide, with a limited number airworthy.
- Lockheed 9 Orion: one survivor on display in the Verkehrshaus, Luzern, Switzerland.
- Lockheed L-10 Electra, L-12 Electra Junior & L-14 Super Electra: several survivors on display worldwide, with numerous still airworthy
- Lockheed L-18 Lodestar: at least 10-15 airworthy aircraft in the US alone.
- Lockheed L-049/L-149/L-649/L-749 Constellation: several aircraft preserved worldwide.
- Lockheed L-1049 Super Constellation: several aircraft preserved worldwide: with at least 4 airworthy.
- Lockheed L-1649 Starliner: at least 4 aircraft preserved. 1 aircraft being returned to airworthy condition.
- Lockheed L-188 Electra: about a dozen left in airline service worldwide.
- Martin M-130: all three aircraft destroyed in separate crashes in 1938, 1943 and 1945.
- Martin M-156: sole aircraft built scrapped in 1944.
- Martin 2-O-2: at least one aircraft preserved in the Aviation Hall of Fame and Museum in New Jersey
- Martin 4-O-4: aircraft preserved at Planes of Fame in Valle, Arisona; the Glen L. Martin Museum in Baltimore, Maryland; the Pima Air and Space Museum in Tuscon, Arizona; Save A Connie at Kansas City, Missouri, and the Mid Atlantic Air Museum in Reading, Pennsylvania. Two aircraft surviving at Sheridan, Wyoming; one at Billings, Montana; one in Paris, Texas; one at Victoria, Texas; and one in a very poor state in San Juan, Puerto Rico. One fuselage stored at the Fantasy of Flight museum in Florida.
- Martin Mars: Hawaiian Mars and Phillipine Mars still in service as water bombers.
- Miles Marathon: substantial remains of one aircraft stored in the Miles collection at Woodley, UK
- Nord Noratlas: several aircraft preserved or in existence in France, Germany, Greece, Portugal and Africa, with at least one airworthy in France.
- SAI KZ IV: both aircraft still in existance, one at the Technical Museum in Helsingor, Denmark; the other airworthy at the Veteran Museum in Stauning, Denmark.
- Percival Pembroke: several aircraft preserved worldwide, with a number still airworthy or in an airworthy condition.
- Saab 90 Scandia: one aircraft preserved in poor condition in Brazil.
- Savoia Marchetti SM.79: 3 aircraft preserved in Italy. Calclassic era aircraft: survivors served with the Libanese Air Force into the 1960s!
- Savoia Marchetti SM.82: 1 aircraft preserved in Italy. Calclassic era aircraft: served with the Italian Air Force until 1960!
- Savoia Marchetti SM.95: Last aircraft withdrawn from service with Egyptian carrier SAEDE in 1954. Either scrapped afterwards, or possibly destroyed during Suez Crisis.
- Scottish Aviation Twin Pioneer: several aircraft preserved worldwide, with at least one still being operated regularly in by Air Atlantique in the UK.
- Short Belfast: one preserved aircraft on display at the RAF Museum in Cosford; one aircraft still in service with HeavyLift Cargo Airlines in Australia.
- Short Empire: no preserved aircraft, unfortunately. One or two Qantas Empires sunk in a Japanese air raid in Broome, Western Australia in 1942 (together with a number of PBYs and Dornier 24s) still known to exist as wrecks in shallow water. Aircraft are known war graves, so will probably never be salvaged.
- Short Sandringham: 3 aircraft preserved at Fantasy of Flight in Florida; the Solent Sky Museum in Southampton, UK; and the Musée de l'Air et l'Espace in Paris, France.
- Short Scion: One aircraft preserved but in a deteriorating state in Northern Ireland. Frame of a second aircraft known to be preserved in the UK.
- Short Sealand: 2 preserved aircraft on display at the Indian National Aviation Museum and the Belgrade Air Museum; one aircraft under rebuild in Northern Ireland.
- Short Solent: 2 aircraft preserved in Aukland, New Zealand; and Oakland, California.
- Sikorsky S-42: no survivors, unfortunately.
- Sikorsky S-43: one survivor on display at the Pima Air & Space Museum.
- Sikorsky VS-44: one survivor on display at the New England Air Museum.
- SNCASE SE.161 Languedoc: upper fuselage of one aircraft preserved at the Musée de l'Air et l'Espace in Paris, France.
- SNCASE SE.2010 Armagnac: Extinct. Last surviving Armagnac broken up in 1975.
- Sud SE-210 Caravelle: numerous aircraft preserved in Belgium, Denmark, France, Greece, Morocco, Norway, Serbia, Sweden, Turkey and the US. One aircraft reputed still to be airworthy in Africa. One aircraft preserved in running condition but not airworthy in Sweden.
- Tupolev Tu-104: a number of aircraft preserved both in Russia and the Czech Republic. Substantial remains of a crashed CSA Czechoslovak Airlines aircraft still lying in situ on the perimeter of the former Nicosia International Airport.
- Tupolev Tu-114: a number of aircraft preserved in Russia.
- Vickers Vanguard: one single preserved aircraft at the Brooklands museum in the UK.
- Vickers VC-10: 15 still in service with the RAF as tanker-transports. A number of civilian airframes preserved in the UK and Germany.
- Vickers Viking: 6 aircraft preserved in Argentinia, Austria, Pakistan, South Africa, Switzerland and the UK.
- Vickers Viscount: several aircraft preserved worldwide. Three aircraft reputedly still in service in Africa; one aircraft airworthy in the US.
I hope this list is somewhat useful to you.