Fastest stalemate with all 32 pieces still on the board
Fastest double/mutual stalemate (i.e. there are no legal moves for either player)
There's also a famous GothamChess video in which he reviews a notorious game where White unintentionally played the worst possible move in chess, simultaneously missing a checkmate in one and putting Black in a position where the only legal move was to checkmate White.
This is wild.
post any wilder situations in the comments.