Super Smash Bros. Melee/Falco

Short Hop Blaster
If you jump, pull out your blaster, and land, the blaster is automatically put away, as opposed to the normal half-second or so delay when normally putting away the blaster. Thus, short-hopping while using your blaster is a much safer way of adding damage at a distance.

Chain Throwing
Although Falco is not the first character who comes to mind when you think chain-throwing, he can do it to Fox and other Falcos. Simply upthrow, turn around, catch, upthrow, repeat. Eventually their damage will get too high and they will recover before you can catch them. They might also be able to DI out of it. Still, pretty tricky stuff.

Star Fox Easter Egg
While playing on Corneria or Venom in vs. or training mode, rapidly mash left and right on the d-pad. Falco will eventually spin around quickly and hunch over with a clenched fist. After holding this position for about ten seconds, a conversation among the other three Star Fox members will trigger. If Falco is hit during the hunch, it will be interrupted. This can be done only once per battle, whether it is fully executed or not. This serves no attack purpose and is simply used for summoning a brief laugh, surprising your friends, and inciting SF64 nostalgia.