I have a number of .22s
My favorite is the VTR 597 Rem, as it gives me a great training tool for IPSC 3 gun and has reliable accuracy.
I have a 597 Rem which for 100yrds and under is quite good, but the groups open at 75y and beyond much more than a single shot repeater.
The most accurate .22 I have is a savage Mark II FV, which features accu-trigger and bull barrel. It runs about $300, I have put on a higher priced optic (5x25 x40). I use it for shooting competitions and have won a few around my area. It can out shoot me, it is not uncommon to shoot one hole jagged groups at 50y (roughly the size of my pinky nail). It is impressive at 75y, and what I would consider good at 100y. It doesn't keep up with an anshutz but it will hold it's own.
Using 333, black box Winchester or dyno whitebox ammo, average groups:
25y 50y 75y 100y
597 Rem single hole jagged hole .75" 2" - 3.5"
VTR 597 " " " " .5" 1.75" - 2.5"
Sav MIIFV " " single hole clovers, .3" 1.5" - 2"
I currently use 3x9 optic on 597, a fixed 4x bushnell tactical AR optic for the VTR, and a Mark III NC star Mil dot 5x25. The above were shot at FRSA's range, using bench and bags or bipod.
I hope this helps. My recommendation for an accurate inexpensive .22 would be the markII BTVS, TR, or TRR-SR. If you are wanting a semi, go with the REM VTR 597, its heavy barrel and reliable action makes it ideal, the AR platform is modular that can be tweaked to your exact liking.
Cheers,
Jake