These are the planes that you need to use in dogfight mode:

British Spitfire fighter (good mixture of firepower amd agility)
British Mosquito fighter-bomber (heavily armed with guns)
British Meteor experimental jet (fastest/good mixture of firepower and agility)
Russian fighter (good agility)
Russian fighter-bomber (good agility)
German ME 109/BF 109 fighter (same as the enemy's plane/good mixture of firepower and agility)
German JU-87 "Stuka" fighter-bomber (it has an extra rear-gunner/good agility)