I have the Panasonic LV75 and love it for its size and picture quality. The battery lasts about 4 hours -- good enough for 2 movies on my trans-Pacific flights. I have not plugged it to the airplane's power port because I don't have the necessary adapter for it but I'm usually good for just 2 movies on these flights anyway.
When you get to your hotel, you can connect the DVD player to the TV for a larger picture.
A must-have accessory for the DVD player is my Sony NC-10 noise cancelling (in-the-ear) headphone.
Also before my flight, I rent movies from netflix.com and keep them as long as I want at $20/month for 4 movies at a time.