These are the moves for Mortal Kombat 2. Only some of the special moves, and none of the finishing moves, are applicable to other MK games.

Special moves
Flying kick: Forward, Forward, High Kick
Bicycle kick: Hold Low Kick for 3+ seconds, then release
Fireball: Forward, Forward, High Punch (can be executed in mid-air; faster that way too)
Low Fireball*: Forward, Forward, Low Punch

Finishing Moves
Dragon: Standing about one step away: Down, Forward, Back, Back, High Kick
Cartwheel Uppercut: Standing about two steps away: Rotate the controller 360 degrees, starting from Back
Babality**: Down, Down, Forward, Back, Low Kick
Friendship** (Disco dance): Forward, Back, Back, Back, Low Kick
Dead Pool: Hold Low Punch and Low Kick, then approach the victim and press Down and High Punch
Kombat Tomb/Pit II: Down, Back, Forward, Forward, Low Kick

* While executing this move, the fact that you're crouching prevents you from being hit by certain projectiles
** Of course, you cannot do a babality or friendship if you've done any punching in the winning round