"universal" rimfire?
Alligator94; just so happens that I have a relative that's looking to part company with such a rifle. It's a Remington 550-1 (1946 manufacture date, I think she said) -- and if you're still looking for such a thing, let me know. As a collectible shooter, it's great. Way accurate w/any .22 rimfire ammo. I've personally put quite a few rounds through it, and I can't make it miss.
The only times I've run "mixed" tubes was when combining long and lr. I can't recall the thing ever choking on me, regardless of load used, but then it's always been kept clean. It's one of the good ones (milled from steel forgings), and the bore and innards are pristine. The bore and innards are the only things pristine about it; it's been a "user", and is in NRA good condition, at best.
Find one of these, and you'll have what you want.