May be a really old thread, but i will offer my advice to help anyone else that has experienced this problem.
Mine does the same thing,
1st
Take a butter knife or other flat object, hit the eject button, place the knife in the top of the door to pry it open just enough to get a grab on it
2nd
Gently pull the door down as help the tray move up, as you get it all the way down the tray should pop out.
or mine does anyway.
Hope it helps
Iv taken the unit apart and oiled everything with machine oil, still doesnt open like it should, im thinking about putting a little light weight knob on the door to keep from using a knife,
maybe put heat up the end of a tack and push it through the plastic, bend the metal end and super glue it to be sure it holds.
not the best method but should work fine