I ran about 7K rounds through three different 10/22s last year. There were a few failures to fire, which isn't uncommon in rimfires, just means that that one shell didn't have any priming compound where the firing pin hit. Otherwise, no problems.
Two out of those three guns have aftermarket barrels with Bentz chambers. Depending on the ammo used, those guns may not extract an unfired round from the chamber. That isn't really a malfunction, just a characteristic of the combination of a chamber that puts the bullet into the rifling, and the weak extractor on a semi auto.
In my experience, once a 10/22 is past its first few hundred rounds and well broken in, there are only two ways to get a 10/22 to malfunction. One is to use anything other than a factory magazine. The other is to use Remington ammo. It's not that their ammo is junk, it's just that there's something about the bullet lube that Remington uses that makes the magazine rotor stick. Back in the worst of the ammo drought, I tried to shoot a 550 pack box of Remington, because it was all the cheap plinking ammo I had left. By the time I gave up, I had seven factory magazines that would no longer feed anything, and had to be torn down and cleaned.