I imagine you can get a cheap savage or Marlin to shoot better than some high end .22's.It's almost always a crap shoot of some sort.I've had some very accurate Marlins and I had an accurate CZ American.I had some little issues so I traded it on a Ruger 77/22.I honestly had low expectation for the ruger but it's a tack driver with cheap target ammo.As far as scopes,I put a Nikon rimfire scope on it.
I picked my son up a Stevens bolt action rifle and topped it with the 2.5X-8X Universal scope off of his great grandfather's deer rifle. That thing is ridiculously accurate. After I zeroed it, I was piling shots almost in the same hole at 25 yards. I have a whole $139.00 in it.
I have had two Ruger Model 77/22 22 rimfires. One the standard walnut stock/blued sporter and the other the All-Weather model with the laminated stock, matte stainless steel metal and the heavy barrel. They are both TACK drivers. The heavy barreled model is my favorite squirrel rifle. It sits under a Leupold Vari X II 4x12 AO. It does it's best work with Rem. 38 gr. sub-sonic HP ammo.
My dads old Sears & Roebuck 22lr single shot (made by Marlin) will consistently group at about .5 inches at 50 yards which has led me to slay hundreds of squirrels with it. What else do you use a 22lr for? haha