At Turtle Talk, no food or drink. In line for Space Mountain, you can eat/drink in line but I imagine they'd have you put it away before boarding. I have taken a Coke on the ride(paper cup with lid and straw) and I put it in the pouch. (I don't know whether it is allowed or they didn't notice; I forgot I still had it until I was in my seat.)
All rides make you toss your coffee now because some opportunist burned themselves and sued. On most rides you can take your coffee (or booze if you're in DCA) all the way through the line until you board (i.e., beyond fastpass check) except Haunted Mansion -- you'll have to toss it before entering the lobby.
No theaters allow food/drinks (Lincoln, Aladdin, Animation Academy...) except for Tiki Room , where you can bring in any food/drink (not just Dole Whips).