Hamsters
(RIP) Peppermint (I, II, III), Sammy, Zigzag, Fluffball, Fluffy (wow, 10/10 creativity), Liquorice, Smoky (Baconboi), Cookie Monster, Brian, Bobby O' Hamsterly
Guinea pigs
(RIP) Scruffy, Noodle, Zorro, Rafiki, Carlos
(Current) Dodger (AKA Viking)
*edit* dodger died yesterday
Birds
(RIP) Grumps (technically wild, but sorta counts), Jemima Duckerson
(Current, but rehomed) Derpy Duckerson
I've also got a horse named Rory, but I just call him 'Good boy!'