In X and Y, grass types are no longer affected by spore moves, and ghosts are no longer affected by trapping moves, and electric types can no longer be paralyzed. Are there any other Pokemon types that are immune to 1) a status affect 2) a specific category of moves that is new to X and Y (Ex: Don't tell me that poison types can't be poisoned. That is not a new thing.)
In addition to this, the following changes have occurred: Grass-type Pokémon are no longer affected by moves such as Spore, Stun Spore, PoisonPowder or Sleep Powder Electric-type Pokémon can no longer be Paralyzed Ghost-type Pokémon are no longer affected by moves that trap them such as Mean Look
...aaaaand that's it. Besides those three, there are no new type immunities.
Source
Grass type Pokemon are now immune to spore moves such as stun spore, spore, and sleep powder. The new type fairy is immune to the dragon type Electric type can't get paralyzed And ghost types aren't effected by moves that can't let them flee such as the ability arena trap and the move mean look