What kind of planes were used in the world war 2?

All sorts.

Bombers-

Used to bomb cities, other land and sea targets. This war introduced the use of "heavies", these had four engines and lots of armor. Famous types include the:

German Heinkel He 111, the standard mid size bomber.

American Boeing B-17 Flying Fortress, a Heavily Armored Heavy.

British Avro Lancaster: Heavy with less armor, this allowed for a larger bomb load.

Fighters-

Used to shoot down bombers and other fighters. Sometimes used for dive bombing. Famous types included the:

American North American P-51 Mustang, Very fast fighter, very good. Ranked Number 1 fighter of all time by Military Channel.

German Messerschmitt Me-109, VEry fast, great, was out turned by the Spitfire, this was the main advantage of the Spitfire.

British Supermarine Spitfire, Great fighter. Excellent speed and maneuverability. In between 1 and 10 on the MIlitary Channel list.

Reconnaissance-

Used to take pictures of the enemy lines, factories, and cities. No famous types, these were not recognized as inspirational by the public.