Yeah, once you get started with the bunnies, they just keep coming. :) I've got only one stump on my lot and have had at least 9 or 10 different bunny friends. I'm running out of Greek poets/philosophers I know off the top of my head for names. (It's a quirk of my sim. Her hens are named after nymphs from Greek Mythology. Roosters are named after chicken or egg dishes.)
What I have had, though, is times when watching a bunny didn't count for the aspiration