I don't usually notice as I'm fast asleep myself but being half awake this morning, I heard my puss snoring away. It wasnt loud but certainly was enough to keep me awake for about 20 mins or so!
Doesn't human snore, but does do a bit of a darth vader. She also gets her paws twiching (dreaming of chasing mices) and when she wakes up, she lip smacks her mouth about 3 or 4 times.
Mine do sometimes, but its more like heavy breathing than snoring. Love it when they squeak in their sleep too, I wonder who they're having a dream-like conversation with!!