I'm not sure which current production .22s are made with peep sights. I suppose you could always get aftermarket sights or have sights done custom (I assume that some smiths could do that).
As for my favorite, I have had three .22lr rifles and I've only really liked one of them. I sold my 10/22 because it never really did it for me. I have a Remington 581 that is extremely accurate, but I find it boring (I just don't like it much, and the wood and finish is very basic). I love my Marlin 60- it is ammo sensitive and for a while I didn't like it (the ammo sensitivity plus the feeling I should have bought a 10/22, since everyone who had them seemed to like them, had me questioning my choice), but I wised up. It was my first gun, it is just plain fun, it is quite reliable with the right ammo, and it's scary accurate. I do want a lever .22 (maybe your best bet for a peep sight .22 is a Winchester 9422 with an aftermarket sight- though that isn't really a target gun).
Out of what is out there now the .22lr that most 'speaks' to me is the CZ 452 Lux. Great reputation (all around), well made, accurate, great finish, and beautiful stocks. I have to get one, and it would probably be a good place for you to start looking.