A fun thing to do is to try to achieve specific "achievements" (like these) in real games.
One such achievement is to checkmate with a king move. As the king itself obviously can't deliver checks, it would have to be through a discovery (or castling, but one seldom has castling rights preserved in the endgame).
When can this be forced? It seems to require more fire power than a regular checkmate
A queen and a heavy piece is enough to force this through the standard knight-opposition manoeuvre to drive the king to a corner and then setting up the checkmate
[title "Queen + heavy piece"] [fen "8/1K6/5k2/8/8/8/8/R2Q4 w - - 0 1"] 1. Qd5 Kg7 2.Qe6 Kh8 3.Qe7 Kg8 4.Kb8 Kh8 5.Ra8 Kg8 6.Kb7#
Queen and bishop doesn't seem to be enough, at least with the same setup. While the king can cover the g8 prison square while simultaneously uncovering the bishop, the enemy king unfortunately escapes down the h file:
[title "Queen + bishop"] [fen "7k/4Q2/5K2/8/8/8/8/B7 w - - 0 1"] 1. Kf7+ Kh7
Queen + bishop + light piece to cover h7 would be enough.
Some basic checkmates like KQvK, KRvK and KBNvK are obviously not possible since their required setups have no room for a discovery
What other material combinations can force a king move checkmate?