Ladies and gents- we have wandered FAR afield from the original question.
As said- while the 10/22 and the Marlin 60 are capable of very nice accuracy, MATCH grade accuracy usually comes after installing a bunch of custom parts.
SERIOUS accuracy at 100 yds with .22 LR) is the quest for the Holy Grail. Unfortunately, the limitations are in the cartridge itself. which is why 50 yds is sort of the standard for .22 LR.
You will have better "out of the box" accuracy with a bolt gun. In current production, the Savage Mark II FVXP is a decent heavy barreled bolt action .22 LR. You can get one with a decent scope for between $250-$300.
My personal two favorites are no longer in production, but can be found on the used market. They are a Mossberg 44 US, and a Mossberg 46B(b). If you want to wring the last bit of accuracy out of any .22LR, you will need high quality ammo. It is simply much more consistent. My rifles like Wolf Match, Fiocchi Pistol Match, Nobel R-50, and Lapua Master. They do NOT like Eley Tenex, which I swear by when using a Ruger Mk III.