You are setting the bar pretty darn high! To ask for a 10/22 to out-shoot your Anschutz, BRNO and Strella is kind of like asking if you can modify your Honda Civic to out-perform a Porsche, Ferrari and Caterham!
If you trow enough money at it, you can probably match some of the performance... Get a Shilen or Volquartsen barrel, a KID match trigger, a pillar bedded stock and plenty of Eley Tenex and Lapua Midas...
If you just want an accurate plinker, a Green Mountain or A&B barrel will do just fine! With quality ammo, from a bench on a good day, mine will do 1/2" @ 50yards.