My little Cavalier, Charlie, snores really loud and also wags his tail in his sleep. Wagging his tail is his normal default state - I cant decide which gets more exercise, his tail or his tongue.
Jimmy, my older Cocker Spaniel, runs and snores every once in a while in his sleep, while Bruce, our 120 lb Maremma, doesn't snore at all! Neither does my husband, though he says that I do!