Perhaps we need 4 master lists of replica airplanes: early birds and WW1 (pre 1919), inter-war 1919 to 1939) , WW2 (1939 t0n1945) and finally post 1945.
My list only includes replicas that have flown. Later, we will have to add how many flew, are plans still available, what scale, what engine, how many seats, etc. Sizes range between half scale and full scale. All the War Aircraft Replicas (WAR) were half scale and a tight fit on modern pilots, so most got 100 hp. engines.
We should also note which number of engines and type of engine(s) with an emphasis on cetrtified (Continental, Franklin, Lycoming, Menasco, Ranger, DH Cirrus, Revmaster (VW), Rotax, Walter, etc.)
Were plans offered? It also helps to know if kits were offered.
I am also trying to avoid anything beyond the skills of amateurs (e.g full-scale, almost production quality FW-190 and Messerschmitt 262 replicas built by professional sheet metal workers).
Stand-off scale might need a separate list.
Sorry, but it has been a few years since I played with Excel spread sheets.
Avia, one-off from the Czech Republic
Focke-Wulf 190, Jurca, WAR, etc.
Jukers Ju-87 Stuka, an American one-off plus Pete Bowers offered plans for a replica based upon his Namu two-seater
Messerschmitt 109, Jurca, WAR, etc.
Italian Macchi (?) one-off, by a Canadian, based upon Piel Emeraude wings
Mitsubishi Zero, WAR, etc.
Bell P-39 Airacobra and P-60 King Cobra
Boeing B-17 Flying Fortress, one-off by Bally, 50 percent
Curtiss P-40 WAR, Jurca
Grumman Hellcat
Grumman Bearcat, a one-off built in Quebec and he might(?) have offered plans
Lockheed P-38 Lightning, at least 2 separate one-offs in the USA
NAA P-51 Mustang, Jurca, Falconair, Thunder, Titan, Loehle, WAR, etc.
Republic P-47 Thunderbolt, Jurca, WAR, etc.
Ryan trainers
Vought F4F Corsair, WAR and a few others
DH Tiger Moth
DH Mosquito, France, roughly half scale
Hawker Fury biplane, Issacs in Britain sold plans
Hawker Hurricane, Sindlinger plans and an Italian ultralight
Hawker Sea Fury, WAR
Supermarine Spitfire, Jurca, etc.
Westland Whirlwind, a one-off in New England during the 1970s or 1980s
Yak 1 and 9, a one-off in Canada plus 2 built in the Czech Republic
Please feel free to add to my list.