This one requires some deep calculation. King and pawn endgames are so great for visualizing.

It is white to move. It looks impossible to achieve a draw here. Black's pawn is way out of the white's king's range. It seems white has to either try to queen his c pawn, which looks impossible or chase down black's h pawn, which also looks impossible.

The following position is from Ding Liren versus Wesley So in 2016. I was studying the Catalan Opening, and I came across this incredible position. I felt like white had to have some kind of attack, but Stockfish said no. After forcing Stockfish to think for several minutes, it finally came up with this wonderful solution.