Long List but lets Play
Germany
Me109. Good single engined short range fighter developed up to the end of the war but somewhat inadequate after 1944
Me110. Twin Engined Longer range Heavy fighter. Incredibly well armed but not too manoeuvrable. Became easy prey for single engined fighters before being relegated to night fighting
FW190.single Radial Engined First Used in 1941 it was superior to the RAF`s Spitfire Vs. Constantly developed during the war. Still useful to the end including the TA152 versions with In line engines.
ME262. First operational Jet Fighter. Twin Jumo Engines. Very fast, incredibly well armed and because of Hitlers insistence on the bomber version being built first, not enough to materially effect the outcome of the war. That wasn`t known until after we won.
Great Britain.
Hawker Hurricane. Single engined short range fighter developed from the Fury biplane. Very durable. Shot down over half the German aircraft in the Battle of Britain. used later in the war in Burma and Africa and as a Ground attack weapon with 2 x 40 mm Cannon nailed under the wings. Also navalised as a Sea Hurricane with an arrester hook.
Supermarine Spitfire. Single engined short range fighter. Originally with the RR Merlin Engine later versions used the RR Griffon. Developed and used on the front line to the end of the war and beyond. Also used for reconnaissance loaded with fuel instead of weapons. The ultimate pure fighter. Also navalised as a Seafire with an arrester hook and folding wings.
Hawker Typhoon and Tempest. Replacements for the Hurricane using a Huge Napier 24 cylinder engine the weight penalty made them less useful above 12000 feet. Developed into a mud mover with bombs and rockets as well as an extremely useful low level fighter.
Bristol Beaufighter. Twin radial engined (some with inline Merlins) heavy fighter developed into a torpedo bomber and pure ground attack bomber mainly for anti shipping duties as well as night fighting. heavy armament of 4 x .303 and 4 x 20mm
Bolton paul Defiant. 4 gun turret fighter. used in combat as a bomber destroyer but a flawed concept. single engined fighters flew rings around it and blew them out of the sky.
U.S. in Europe
P-38 Lightning. Twin engined Twin Boom medium range Fighter. Manouevrable single seater with surprising agility for a twin. Only US fighter carrying cannons in Europe. Fought the early fighter battles for the 8th AF but hampered by engine problems with the turbocharged Allison engines at High altitude
P-47 Thunderbolt. The second fighter to come over with the early 8th AF. Big, Heavy single radial engined single seater. fought with distinction to the end of the War with the 56th FG when everyone else was flying Mustangs. Also very good Ground attack aircraft.
P-51 Mustang. Longe range single engined single seater. Originally ordered by the British with Allison Engines, Rolls Royce "borrowed" one and nailed a Merlin on the front instead of the Allison. This led to the best Long Range Fighter of the war. used by certain Central American countries until the 70`s as anti insurgency aircraft. Not so good as Ground attack due to vulnerability of Liquid cooled engines.
US in Pacific
P51 Mustang see above. Hampered by no naval version
F4F Wildcat. Single Engined single seat naval fighter. In Use at time of Pearl harbour. short styocky aircraft able to destroy bombers but limited in dogfighting with zeros due to manouvreability deficit. well built and rugged. Used by the fleet Air Arm of the Royal Navy as the Martlett.
F6F Hellcat. Next step up from the F4F the hellcat was ordered off the drawing board almost. A vice free but heavy duty fighter they helped to turn the tide in the pacific. Also used by the FAA.
F4U Corsair. Take the most powerful engine you can find, hang a gas tank behind it with a pair of wings and squeeze the pilot where you can fit him. Originally known as the "Bent wing bastard from Stratford Connecticut" the Corsair was developed into an enormously successful carrier fighter. Used by the Marines as well as the US Navy, FAA and Dominion airforces of the British Empire
Russia.
Yak 7,9 and 3 Single inline engined single seaters. Designed by Yakolev they were designed and built after the german attack on the USSR. Similar in size to the Spitfire just not quite as advanced.
Lavochkin LA5/7. Single radial engine Single seat soviet fighter with high speed and manouevrability
Japan.
Mitsubishi Zero or Zeke. The all conquering Hero at the start of the pacific war it soon began to sustain losses due to its incredibly flimsy construction and the fact it was underpowered. Little used late on except in desperation and Kamikaze attacks
Kawasaki Ki-61 Hien. Single seater using a licence built version of Germany`s DB 601/3 series of engines. Similar in size to a Me109 it also spawned a radial engined version called the Ki-100.
The Russians used Spitfires and Hurricanes during the war and therefore had copies of the Merlin long before the end. After the war they asked for and were given an example of the early Rolls Royce Jet engine for "evaluation. They then copied this and used it in many early soviet jet aircraft. This is nothing new from the Russians they also built and used illegally copied versions of the DC3 and B29
Ray.