Okay, here's a list I know of:
Fievel goes west: There's a decent in-the-mouth sequence of Tiger almost eating Fievel, but then realizes and lets him go and in the town's saloon, the evil cat's got Fievel on a fork and almost eats him.
In the first X-Men movie, Toad catches a bird with his tongue, and while he doesn’t swallow it whole, he chews it up. No blood though. -_-
In the X-Men Evolution series, there’s one episode ‘Shadow Dance’ where these dinosaurs appear from another dimension and try to eat people. They don’t succeed, but they do try and there are a few close-calls. ^-^
And also for Evolution, one of the characters, Toad, is often seen snapping up bugs and swallowing them whole. Quick and clean, but nice sound effects.
Ted Danson did a ‘Gulliver’s travels’ movie and it had a surprisingly cute vore-sequence. He’s in the land of tiny people and while he doesn’t actually eat anyone, he certainly plays up an act of chewing one guy. The guy’s begging before hand… ^-^
On SciFi one time they had a crocodile movie (not sure which one) and it attacks a bunch of kids, attacking a girl and swallowing her whole. Unfortunately, the scene is short, but we do get to see two twitching feet get sucked into the croc’s gullet. And later on, near the end of the movie, one guy tries to get a blindfold over the croc’s eyes, lands on its nose, get’s flipped up into the air and then gulped down whole. He gets regurgitated almost immediately.
And as an afterthought: in the brother’s grimm, the girl who was eaten by the horse ISN’T digested because we see her at the end of the movie.