Question

Ice, Fighting, Flying and Ground

Comments

mew? he can learn just about any move.

Answer 1

Brick Break + Thunderpunch + Earthquake + Aerial Ace:
Dragonite
Infernape
Regigigas

Aura Sphere + Thunderbolt + Earth Power + HP Flying
Sinnoh Dragons

Focus Blast + Thunderbolt + Earth Power + HP Flying
Nidoqueen
Nidoking
Groudon
Palkia
Arceus

Smeargle
Mew

Answer 2

Mamoswine:
Earthquake-ground
Ice shard-ice
Superpower-fighting
Peck-flying

Donphan:
Earthquake-ground
Ice shard-ice
Superpower-fighting
Bounce-Flying

Aggron,Tyranitar:
Earthquake-ground
Ice punch-ice
Superpower-fighting
Aerial ace-flying

Nidoking:
Earthquake-ground
Ice punch-ice
Superpower-fighting
Peck-flying

Empoleon:
Earthquake-ground
Ice beam-ice
Brick break-fighting
Drill peck-flying

Weavile:
Dig-ground
Ice punch-ice
Brick break-fighting
Aerial ace-flying

Gyarados:
Earthquake-ground
Ice fang-ice
Rock smash-fighting
Bounce-flying

And theres so many others but thats all I could think of in top of my head now and also some moves may only be taught by move tutor in 4th gen.