I loovveee cats. My favorite are inquisitive, mischievous, annoying and turn into a limp purring sack of glue when you pick them up. I love watching them explore, I love watching their athletics, I love cuddling them (when they're relaxed I think they're more flexible than a dog which enhances the experience), I love their 1,000 unique expressions of annoyance, fear and superiority. I love their "suck itt" attitudes and how they become a part of your home.
I've never had an indoor-only cat and I'd rather not... but I won't say never, even if I do hate litterboxes (I don't think cats like them much either lol).
As far as animals crapping in the house... it depends. I'm not bothered by the minute shits of my geckos, fish-shits, or the tiny bone-dry gerbil craps. I wouldn't mind having a couple of canaries or Gouldian finches indoors either.
I don't know if I'll keep a rabbit inside again though (I have this fantasy about having one allowed inside in the summer months, so the doors are open and it can go crap in a flowerbed or something). Something like a monitor lizard, I would only keep in a greenhouse.