For adoptable rabbits at shelters near you, petfinder.com is a great resource, i found both of my dogs through petfinder.
Yes rabbits can be litter trained- in fact I've heard many rabbits are actually rather easy to litter box train, though Im sure it depends on the individual and i can cannot speak from experience as I don't own rabbits but know quite a bit about them. Rabbits eat the cecal pellets they make when they defecate, so putting their hay (most recommend free feeding something like Timothy hay) in the litter box or in a hay rack next to it can help with litter training.
As for the thing about rabbits not liking being held or played with, that's not always true of ALL rabbits. Though not always the same in those respects when compared to something like a dog, there are rabbits that do tolerate or even enjoy sitting on laps, being held, playing with toys, etc. There are rabbits that will lie on their backs and let you rub their belly! But of course, just like betta fish, dogs, cats, and every other animal, they all have their own personalities and that comes complete with likes and dislikes. Having a house rabbit, as opposed to a rabbit kept outside in a hutch enables you to not only view more of your rabbits behaviors (and it yours) but interact with it more. Like many small animals, gerbils, guinea pigs, etc. the more time you spend with your rabbit and the more effort you put into working with it the more likely it is to become used to things like grooming, playing, and petting.
Last edited by JustinieBeanie; 09-22-2013 at 08:22 AM.