[MadDogBV]

As long as the player is always alternating feet and not having to spin around (step out the patterns when you're charting to understand the feeling) you can chart pretty much any way you want. A good stepmaker will try to be inventive and not worry so much about terminology - rather, more about the "feel" of the song. The general rule is, though, to save crossovers and spins for slower songs and/or streams, unless you're purposefully making something that's supposed to be lolhard.

You can go wild on inserting infinitely long 16th note streams in Dragonforce (200 BPM) songs and people will play it. Insert a single crossover, though, and the masses will cry bloody murder.

As far as actual terminology goes, you have the candle (I think it's L-R-U, R-L-D, and similar patterns); gallops (L-D-space-D-L, etc.); runs (straight 16th note stream); death runs (16th note stream with crossovers and turns); jump-jacks (ugh, you can probably guess); jump-spins; some spins that aren't 4-point turns (L-R-U-D-R-L-D-U-L, or L-D-U-D-R-L-D-U-D-R); and twists, which are partial spins that have you turning away from the screen and back again, such as those found in B2U-OG. Then there is the hated double-step, which, believe it or not, is in just about every DDR chart in existence.