I've got an Audiotechnica PL-120 and love it. Manual arm, which is no drawback for me. Brand spanking new. Direct Drive. Belt = bad. Also, ignore those UFO looking mini DJ ones (numark) if you want any kind of sound quality.
EDIT: Guess I'll go into more detail...
You will need an amp and speakers with RCA connectors (most likely) to enjoy your system. Any powered system will work, including those you can get at your consumer grade electronics store (Best Buy, etc.) But ideally you'll get something better than that. The key is it has to be powered, by a seperate amp or by a part of the system.
You should avoid belt drive because the accuracy will not be there. Belts can stretch and warp, ruining your pitch via changing the speed of rotation. A direct drive has the motor in-line with the rotating center pin. There are no other things between the motor and the rotating platter. They also make turntables with strobe detection. This is a cool feature. There is a strobe source that bounces a beam of light off of reflective surfaces on the side of the spinning platter. There is also a receiver that picks up the reflections, and judges how fast the platter is spinning based on the interval of reflection. It can then automatically adjust the speed to compensate and fine tune.
If you *must* have one with an output (I personally don't understand this at all, why would you invest in vinyl just to burn it to mp3?) those are usually available for 10-20 dollars more in the same model as ones without it.
Depending on your use, you might want an automatic operation (push a button and the record spins, needle sets itself, raises when done and resets itself) or manual (push a button and the record spins, set the needle yourself). You might want one that plays 33 1/3 RPM (this is standard for most 12" LPs - full length albums) and also 45 RPMs (plays smaller, 7" single discs). Another common speed is 78RPM for hi res recordings. On my player, you can push both buttons to get this mode. 33+45 = 78.
Mine also has a feature you probably won't use, and I don't either: pitch slider. This increases or decreases the rotation speed so you can mickeymouse the recording or make it darth vader'd. Mostly a DJ feature. I also have a reverse feature, which you might find useful for certain notoriously evil recordings.