Sorry if some of the responses came across a bit short. It was not my attention to be flip.
A S&W 10 is a fine pistol, i have shot many many rounds through them. A 5-inch barrelled one was my first handgun. Very solid, accurate and as dependable as they come.
For $200 I would look for any of a number of good revolvers. My personal favorite k-frame is the S&W 15 4-inch. Basically a S&W10 with adjustable sights and a rib down the top of the barrel. Probably a slightly better gun than a S&W 10 if you want to use it for lots of taget shooting.
I have found several 10s and 15s used for under $200. In fact if i get my alternator changed in time tomorrow i will be going to a friends pawnshop to pick up a nice old S&W 10 4-inch for $175. The gun is very very tight, but it has some spots on the blueing.
Ruger Speed Six, Service Six and Security Six (adjustable sights)are also excellent revolvers that are roughly the same size and features, more often found in .357 mag than .38 spl, but often fall in the under $200 price point. VERY strong revolvers, easier to detail strip than the S&W revolvers, but in my experience not as good of triggers out of the box. Shot thousands of rounds of full power .357 mag through a Speed Six with never a hickup.
For the $225 to $250 range, you get into a lot of different models of S&W .357mag revolvers. S&W 13, 65, 581 and 681 all give you fixed sights and are fairly plentiful on the police trade-in market. If you want adjustable sights look at the S&W 19, 66, 586 and 686.
If i could only keep one of my current handguns it would be my S&W 686 4-inch round-butt. Best compromise i know for accuracy, strength, reliability and long term durability.
All of the above would provide you with excellent defensive or recreational guns. If you are mainly looking for a target gun, I would look for a good used Ruger MKII auto or Single Six revolver in .22LR. My favorite .22 that I own is a S&W 18, 4-inch, adjustable sights, superb trigger, and I paid $180 for it. Normal price range for it is probably $200 - $250 used.
There are very few autos in this price range that I know of people have good luck with. The Makarov, CZ52, Tokarev are about it. I have seen some of the FEG Browning Hi-Power copies (not the double actions, but the 'exact' copies) for $220 - $235 at some of our recent local gunshows, and they look rather good. I may yet pick one of those up.
All that said and done, i would say if you just want something to learn to shoot a hangun well with and enjoy shooting buy a used Ruger MKII. If you want something to enjoy shooting and still be able to realistically defend yourself with, i would buy a used S&W 10 or 15.
Hope this helps.
Feel free if you have any other questions.