The achievement description says "every enemy plane type" but not too sure how technical they are getting because it popped for me before I killed the Me 262 A2 Ace (The last plane in the game), which I would think was a different "type" than the regular Me 262 A2. Since there wasn't any solution to this when I started going for it I decided that I would keep track of the planes that I Ace killed. There may be some extra and/or missing planes from my list but the fact remains that I unlocked the achievement by Ace killing the planes listed below. The planes are listed in order of appearance and which missions each are found just in case you miss their introductions. The list only mentions the planes that are marked as objective targets as the miscellenous planes that are flying around can be extremely difficult to target and in some cases it's impossible.
Me 109 E-4: Phoney War, Defense of the Realm, Fighter Superiority, Firestorm, Eagle Day, and Eye of the Storm.
Do 17z: Defense of the Realm, Empire's Heart, and Party Crashers.
Ju 88 A-4: Defense of the Realm
Me 110 C-4: Defense of the Realm, London Burning, Fighter Superiority, Firestorm, Empire's Heart, and Eye of the Storm.
Ju 87B Stuka: Defense of the Realm, Fighter Superiority, Empire's Heart, and Operation Cerberus.
He 111 H-16: London Burning, Eagle Day, Empire's Heart, Firestorm, and Party Crashers.
Me 109 E-4 (Boss: Hans Werner): Empire's Heart
Me 109 G-6: Party Crashers, The Butcher's Birds, Eye of the Storm, and Battle of the Bulge.
Fw 190 F-8: Party Crashers, Eye of the Storm, Battle of the Bulge, and Black Heart.
Fw 190 A-8: Party Crashers, The Butcher's Birds, and Operation Jericho.
German B-17: The Butcher's Birds
Fw 190 A-8 (Boss: Ernst Jager): The Butcher's Birds
Fw 190 F-8 (Boss: Ernst Jager): Eye of the Storm
Me 262 A2: Battle of the Bulge
He 219 UHU: Black Heart
Me 262 A2 ACE (Boss: Johann Sturm): Black Heart