[MHGinTN]

The Ruger 1022 is available in wooden stock. Takes 10 round box mags which fit flush with the stock. You will pay 'good money' for it.

The marlin 795 and Mossberg 702 Plinkster have synthetic stocks and are quite reliable and very accurate. You will not pay a prmium price for teither of them. Both use detachable magazins which protrude below the stock. The Marlin has after market 25 round mags which work just fine, made of zytel polymer. Don't waste money on the Mossberg extended mags. They're jamming junk.

Of the three, I much prefer my Mossberg Plinkster for shooting in classic stock style. The Ruger 1022 can have multiple added features 9red dots, lasers, flashlights, etc.) and made to look a lot like an AR15.

The Smith 15/22 looks like an AR, shoots well, but is picky on ammo. The Mossberg and Ruger will eat anything. The Marlin is the most accurate at distance and likes any ammo in the 1000 feet per second and up range.

[sarge83]

Stick with 10/22, Henry or Marlin 60. The mossy junkster I had was a nib pos. Wouldn’t shoot straight from a rest. Traded in at a pawn shop for used 10/22. You might also consider a Remington nylon 66 if you can find one.

Lots of .22LR on shelves at my local gun/Pawn shop establishment.

[crabpott]

Well then, when you get serious,there is always the Winchester 52 or perhaps a Remington Rangemaster and some old funky Unertl scopes.
Be carefully. That's where plinking can lead you.
It did me.