My GAF handle: I grew up playing fighting games, and for a period of time played games that encouraged obnoxiously long (and in some cases "infinite") combos, like Marvel Super Heroes, X-Men vs Street Fighter, KoF 2000, etc. By the time I signed up on GAF, I effectively no longer played fighting games, but I still have fond memories of them and wanted my name to serve as a tribute of sorts.
At first I thought "Infinite" was cheesy, but then saw two GAFers with that in their usernames (InfiniteAmmo and InfiniteNine), so I went with that.