ironically my most accurate .22s (i have two of them now) are old TOZ-12s. they were old Soviet pre-war training rifles made in the early '30s.
bull barrel, anschutz style sights, a hair trigger and no safety

unfortunately it is a single shot, so that rules it out for most people.
i own a 10/22T and luckily have had none of the problems you describe. however ive always thought that the soft aluminum receiver and saggy barrels on the 10/22s were a huge weak point, so i will probably not buy one again especially now that they are over $300 (the 10/22T is over $500

) and closer to the price of much better designed, more robust rifles.
i wouldnt go so far as to say that they are
'a piece of sh*t', but... well.. its a mass produced rifle with some severe design flaws that has become hyped up to ridiculous levels mainly because of the aftermarket. to be honest at this point i am far less interested in aftermarket bling and more interested in a reliable firearm made from durable materials with proper barrel:receiver mating and action bedding. all the aftermarket bling in the world is not going to change this on the 10/22.
I heard norinco is going to make a 10/22 clone, that would be a great source of cheap receivers for us to build on.
unless they make them out of steel (perhaps with an integrated rail), dont even bother IMO.
It's a $200 gun that goes bang when you pull the trigger - same as other similarily priced semi's. As an added bonus (for me at least) is Ruger's rotary magazine that allows you to have 10 rounds in a magazine that sits flush to the receiver.
it hasnt been $200 for a long time.
and yeah, the ruger factory 10-rounders are awesome. i dont like how cumbersome the hi-caps are so i generally just carry a few clear 10-rounders, as long as you have them adjusted properly (some come overtensioned from the factory) they are one of the best mag designs IMO.