Super Smash Bros. Melee/Fox

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.

Shine Spike
The shine/reflector, when used in direct contact with a victim, knocks said victim away from Fox. The advantage to this is that the shine is the least laggy move in the game - it deploys in ONE FRAME! This can be abused very nicely by knocking the opponent off the stage, then jumping after them and shining them right on the top of the head, sending them down and outwards into oblivion. If you find this description confusing, consider it like a meteor smash only less powerful but easier to use, a lot trickier and a lot cooler.

Waveshining
You should first master Fox's wavedash (see general techniques). With that done, note that you can "cancel" a shine by wavedashing immediately after it. This can be used to shine the opponent, wavedash after him, shine him again, and repeat to your heart's desire (until they fall off the edge). It's basically a potential infinite combo, restricted only by the fact that the victim will fall off the edge. The timing is a bit tricky. Also, note that not all characters can be waveshined, as different characters react differently to being shined. Falco, for example, falls flat on his face afterwards, and is thus un-waveshinable. Link, on the other hand, gets torn apart.

Drillshining
This technique may seem a bit daunting at first, but is actually a rather easy way to rack up some good damage with Fox. It entails using the drill kick (aerial down a), l-cancelling (see general techniques) and shining immediately. It can be repeated over and over if you can time it well enough, and if you get somebody up against a wall with it it's an infinite combo.

Chain Throwing
Although Fox is not the first character who comes to mind when you think chain-throwing, he can do it to Falco and other Foxes. 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.