Soultion: 1. e8=R K (Any) 2. 0-0-0-0-0-0#
Hardest mate in 1 puzzles

Mate in 1
How did black get into this pos. if it's white to move? What could his last move have been? This means it is black to move. Since he just has a king, he can't deliver mate. Thus, your puzzle is unsolvable.
Um whatever black does white wins in 1 move
ez for me 1. bxa8=P ( Any move would lead to stalemate) I FORGOT THAT IS STALEMATE IN 1
Actually it's not necessarily stalemate but it is a draw - e.g. after ..Bf6 .Bxg2!

ez for me 1. bxa8=P ( Any move would lead to stalemate) I FORGOT THAT IS STALEMATE IN 1
Actually it's not necessarily stalemate but it is a draw - e.g. after ..Bf6 .Bxg2!
Okay!

Nc6#
I'm sure that's a minor numeric typo
Mate in 2!
A bit disturbing that white has promotion choice. Better: place bPf7 on g6.
Mate in 2!
Looks impossible, except by a familiar joke rule!