Now we're talking about something where I actually have some expertise and experience.
How much are you wanting to spend?
The Smith and Wesson Model 41 has a great reputation for accuracy and features for its price.
Moving cheaper, you can get a Ruger Mk II target pistol. There's not much to them, and many gripe about their ergonomics, but they will put the holes where you want them. Heck, I set the IL Junior free pistol record (which I doubt still stands this many years later) with a Mk II back in 1992 - against people shooting guns costing 3 times as much.
High end, I've always been partial to Hammerli and Pardini - both shoot like a dream and have been used by others to embarass me on many occasions. I am not aware of any American gun manufacturers in that category. There are also some good guns out of Russia. The differences in the models at this point are based on specific international pistol events, with features designed specifically with them in mind.
If you can find an old high standard target pistol - buy it. All of the old farts talk about them as a great cheap, accurate target pistol - kind of the benchmark for entry level guns in the sport.
I have never put it through its paces in a match - or seen it used in one - but I also own a Browning Buck Mark target pistol that is one helluva little gun, too.
-edited "back mark" to "buck mark"
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