My "oldest and greatest"(TM) character is/was an albino... he's the elf I'm using for my avatar. But that's not really that strange.
In a hackmaster game I got a little overzealos and unlucky with the merits/flaws table, and wound up with a pixey-faerie theif who had two peg legs, only one arm (Thankfully both wings), one eyed, color blind, deaf, and had a host of mental problems...
Strangest "normal" character would probably be Tan Ji'Etana... he was a level 1 follower of a god of trickery... after he woke up in the forest with amnesia. He was actualy a heir to a noble house of a distant empire. He woke up in the forrest in tattered clothes and a two-bladed sword, and an for some reason he remembered how to use the sword, but not much else. He doesn't even remember his real name, but calls himself "Dancer", after his fighting style (and the fact that he has perform: dance). He occasionaly has "flashbacks" where he remembers bits of his life, but never much of it. In his new persona, he is a fairly light-hearted, fun-loving rogue-ish type character, sorta like a slightly more fun-loving version of Han Solo. He spends a lot of his time in taverns drinking, playing knife-toss games while drunk, and chasing women. He is slowly gaining back a little of his "old" personality as his memory returns bit by bit, and he's becoming a more serious sort. The empire is searching for him, but what will happen when they find him? His ongoing "quest" isn't to recover his memory (which his new persona could frankly care less about), but to construct a sword that he keeps having visions of... a double-bladed sword, with one blade of mithrill and one of adamantite, with runes running down the blades, and the handle wrapped with the skin of a young shadow dragon. Thus far he has managed to construct the adamantite blade, and has a lead on a smith to forge the mithrill one.