The usual cases
King against king. King and bishop against king. King and knight against king. King and bishop against king and bishop, when both bishops travel on squares of the same colour. In each of these, no sequence of legal moves can produce checkmate, so the game is drawn at once.
The FIDE Laws describe this more generally as a dead position: any position where no series of legal moves can lead to checkmate. A completely locked pawn chain with no way through can also be a dead position.
Possible is not the same as forced
King and two knights against a lone king is not an automatic draw. The stronger side cannot force mate, but a mate is possible if the defender blunders, so the game continues.
The same distinction matters when a flag falls. Under FIDE rules, if your time runs out but your opponent cannot checkmate you by any legal sequence of moves, the game is a draw, not a loss. If mate is possible, even only with your help, you lose on time.