Making a recommendation is a little difficult as you do not indicate whether price is a major factor or mention a preference in sights or ability to mount a scope. But, all this aside, I will give
my opinions based on years of experience in collecting, shooting, and working on/repairing various slide action rimfires and taking durability, smoothness of operaiton, and overall appeal into consideration.
Winchester 61 - due to a combination of durability, smoothness of operation, and appeal this one is my first choice. But be prepared to pay more than what most of the rest will cost.
Winchester 62 - ditto what I said about the 61, but has the exposed hammer if that is a preference. Most of this also applies to the Model 1890 and 1906 Winchesters, but these are older guns and may be more likely to have age issues.
Browning Trombone - one of the best slide actions ever built - right there with the two above Winchesters; durable, slick, and nice. But also costly.
Remington Model 121 - Smooth action and handles well, but has some of the same relatively minor downsides as the Model 12. In my opinion both (especially the Model 12) are a bit overly complicated mechanically as compared to the previously mentioned guns and consequently more prone to certain types of mechanical failures.
Savage Model 29/29A - These guns are generally underappreciated as they are good reliable guns. The 29A can handle high speed cartridges. Often can be had at very reasonable prices.
Reminton 572 - These are nice guns if in good condition but do not quiet meet the mechanical quality (Remington cut some corners on them as compared to the Model 121 for example) of some of the other guns listed here.
Remington Model 12 - When in good shape these are reliable and fun to shoot, but they suffer from certain design features that, like the later 121, makes them prone to certain types of mechanical problems as they wear. Also be sure to check the bore as many have poor bores due to poor care and/or shooting corrosive ammo. Except for the latest versions, you should not shoot high speed ammo in them.
Marlin - Marlin made some good slide actions and some that aren't quiet as good. Closely examine the bore as many will have poor bores due to corrosive ammo or poor care over time. Many of these were not designed to handle high speed ammo.
And there are others that are less well known. Decide on what you are willing to pay, do your research, and carefully examine any prospective purchase. If it is an older gun (20's - 30's for example) carefully examine the bore. If you find one you like, post back on RFC and ask for feedback on that particular rifle - there is just to much relevant information on all these guns to post here. And, as previously stated, buying a qaulity rifle (like the Winchester 61 or 62) may cost more initially, but it is not like you are pouring money down a stump hole. Assuming the gun is well taken care of, you have the potential to realize a good return on your money should you sell it.
You have lots of choices....
James