One of the beauties of single-shot rimfire rifles is that virtually every LGS has some at knock-down prices.
You probably won't find one, but a Remington No.4 Rolling block can be found in the dictionary under the word "fun". This one has a newly-relined .22 LR barrel.
Another fun single shot avenue is the Erma .22 adapter insert for 7.92x57 Mauser K98k-length barrels. This thing resembles a cleaning rod, and it was probably included as such by mistake in a deal for another Erma adapter. It's easier to describe in this video than with words:
This is an expansion and re-edit of my earlier video, with audio and shooting appended. (text continues below)Granted, most of the audio is the sound of noi...
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It is way more accurate than you might expect.
I own several other .22 single shots, and I suppose my third favorite is a Remington 580. This rifle is a weird mix of quality and cheap. The factory rear sight is mounted on a flimsy plastic barrel sleeve that fortunately is just held with a screw and is easy to remove. Also, since this is basically an adapted magazine repeater, there is an even more flimsy plastic cartridge platform filling the magazine opening in the receiver. The rifle won't function properly without this platform, as it serves to align the front of the bolt. So, in summary, it's a fiddly rifle. Wisner's offers a machined steel replacement, if they ever get around to doing another batch:
http://www.wisnersinc.com/model/remington-bolt-action-22-rimfire/
On the plus side, it uses an excellent multi-lug rear locking bolt and comes with an adjustable trigger (mine was seized with gummed WD40 when I bought it, which let me negotiate the price down quite a bit.) Except for the two plastic components and the aluminum trigger housing, the gun is well-made of nicely-finished steel. I fitted mine with a Mauser 95 banded front sight to achieve the proper height for use with a NECG grooved receiver rear aperture, although I later fitted the rifle with a Nikon rimfire scope. This rifle is very, very accurate, much more so than this shooter.