There are so many amazing places. I'll tell you what my family likes.
Animal Kingdom:
We all loved Yak & Yeti (something along that name) in Asia. It serves Asian.
Magic Kingdom:
Cosmic Ray's is great if you're in a rush. But if you have time, I've heard Tony's Pizza is nice (haven't gotten in myself...haha) or if you're looking for fine dining, head over to The Grand Floridian to the Grand Floridian Cafe. It was really good
But don't go in trashy clothes.. It's the Grand Floridian.
Epcot:
So.much.food. I went to one Mexican place that I loved... it just opened last year. And we always stop in England at the pub. Love it! And we all LOVEDDD the Coral Reef. It's AMAZING.
Hollywood Studios:
I've only ate at Hollywood & Vine, and I liked it. But no one else did. If I were you, I'd take the ferry to Downtown Disney.
Outside The Park:
Yaughtsman! It's delicious but expensive! If you don't have kids, you may consider Victoria & Albert's. It's nice, but super expensive.
Anywhere not to go:
We all hated the Flying Fish.