Please be very careful when buying a used player. Demand insurance against damage when being shipped. These players are very easy to damage. I got a few bad ones. Never knew if it was the shipping, or the seller was shipping a bad player to cash in on postal insurance fraud. Also, make the seller make the insurance claim if the player is damaged on arrival, you should demand a full refund.

And yes, there are players that play sides A and B without having to turn the disk over. Pioneer CLD-504 is one of them, and the player I own. In fact this is the second of that model I have owned. It's not high-end, but is a great mid-range player for my huge LD collection. It has S-video and AC-3 outputs. You can find them for under $300 US.