Well, if we're including weird luck, I should add the story of Sandor, a paladin in one of my 2e games.
Sandor was amazingly heroic. Put any sort of BBEG in front of him, and watch it die in ridiculous fashion. Standout examples:
Flying, drow sorceress, with the party out of spells & ammo and no escape in sight. "Uhh, can I chuck my sword at her?" "You'll have like a -8 to hit." "Gonna die shortly anyway, ::rolls:: Natch 20!"
A green dragon surprise-attacks the party and takes down half of them with his first breath attack. The paladin rolls horrid intiative, the other survivors pepper it with spells. The paladin finally gets his go, a mounted charging attack, desperately trying to keep the beast away from the standing "squishies"; natural 20...max damage. The dragon collapses in a heap. (At least I got to screw them out of the treasure, I guess.)
However, what Sandor was not, was mundanely heroic. If ignominy was a possibility, the enemy was weak or comical, you could rely on rolls in the single digits, and often below five. For instance, around the same time he one-shotted that dragon, he and the cleric got dragged off into the woods by kobolds using 2e's overbearing rules. Before he killed the drow sorceress, he had been nearly beaten to death by an orc cook...wielding a frying pan. On several occasions, he was stuck out of combat by bad saves against low-level casters. Worst luck I've ever seen finding secret doors and the like, too.
It made for a bizarre game.