Well, the first question is if you want a new or used firearm.
If you want new, I would strongly recommend the Ruger Mark III. I also recommend the Buckmark, but with hesitation. I had an aweful experience with my Buckmark standard. I had to send it back twice and then after need to send it off a third time, I gave up on it and traded it in. Also, many people forget about the Beretta Neos. All three of these are quality 22's. There have been some teething problems and questions raised about the zinc castings used for the mosquito and the P22. There is also the Model 41 if you wanna shell out some money... Lets us not forget about our wheelgun breatheren. Since this was posted in the autoloader section, I will not go there.
If you want used, there are more plinkers than you can shake a proverbial stick at. There are High Standards, Ruger Mark series, Sig Trailsides, etc. Just cruise around Gunbroker to see one that catches you eye and then search about it here. You'll be sure to find the good, bad and ugly about them all.
Since you are looking for "just practice and plinking around" You can't beat a Browning Buckmark Camper/Ruger Mark III Standard. Both should be under $300. Good luck and let us know.