10/22s are great!
As you said, they shoot great out of the box, but yes, there are a ton of aftermarket parts and upgrades, too. As already said, the trigger is a good place to start. Its also easy to re barrel them, as its just 2 screws and a V block. Ive had good luck with 1 in bull barrels, for sure. Green Mountain seems to come to mind.
Volquartsen is another that makes alot of 10/22 stuff, but pretty expensive. I can be pretty rough on some of my farm guns, so I really like the Hogue black rubber overmoulded stocks. A sling is always handy for a woods rifle, and Ive run everything from a 4x weaver to a 4 to 14 x varmint scope, they all seem to do well when you settle on a brand of 22 ammo it likes. Ive always had good luck with federal, but ive seen some that like this, and wont shoot that. Aguila standard velocity and Hi velocity seems to work well too
Congrats on your new 10/22........itll give you years of shooting pleasure!