I've got a Remington 582 and a Ruger 10/22. I've yet to take the 10/22 out but I've shot them since the mid-late 1980s. I've only taken the Remington out a couple times before I decided it needed a new scope. Even with a junk scope on it, it was very accurate. I'm a fan of bolt actions so I'd have to say that the Remington is my favorite.
yes, you'll see that the 10/22 is very popular... and with good reason! It's affordable, reliable, and easily upgradeable.
I also like the Ruger 77/22 bolt action, or even theRuger 96/22 lever action -- all of which use the same magazines.
I also like some options from remington - their pump and bolt actions, even their speedmaster autoloader.