You can always create a chess variant with any rules you like.
In the first position Rxb1 is a serious blunder in a winning position. Ra3+! allows capturing the queen without stalemating the opponent. Why should a player be rewarded for blunders? Do you see how this would make chess a much less exiting game?
Personally I am fine with stalemate but its been clear from reading the forums that a lot of people aren't. So I was thinking of a way around stalemate and I thought what if the King that would be in stalemate could capture the piece that was putting it in stalemate if it moved and the game would continue.
So for example -