I bet this variant hasn't been done: checkmating one of the knights!
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Have pawns start on the back rank. Or reverse the pawns: black pawns on white's second rank, and vice versa.
All those kinds of variants already exist.
There is pawn massacre chess: with pawns on the same place, but others white pieces on last rank and black others pieces on first rank.
They already made one with white non pawn pieces on last rank and black non pawn pieces on first rank, with white pawns on seventh and black pawns on second rank. There is no need to imagine how double step and enpassant works, since you will promote after just one step.
The pawn flip one they posted the link already existed on chess variants.com I think.
Also on this variant the creator must decide how double step and an passant works and if the game will have it. I once started to brainstorm about the spirit of chess and enpassant and double step. The rules I came with were, normal fide pawns that start on the first rank can triple step, they can do it only as their first movement, and cant doublestep, just do the normal move or the triplestep (but they still need to pass throguht the second square in front of them to do the triple step), en passant works by capturing the square where the pawn would be if it moved just one square isntead of 3.
OTHER VARIANTS
White pieces on first rank, then white pawns, then black pawn, then black pieces, is the normal fide game.
The variants with white pawn on last rank and black pawn on first (there are 2 possible variants that would follow those rules) are impossible, since you would have to deal how promotion happens on this case.
White pieces on first rank, black pawns on second, white pawns on seventh and black pieces on eight rank, also produce an unplayable variant. This because white can just use his pawn to capture the enemy king on firs turn. Actually you need to decide how, check and mate works on this case since you are both checked and checking the enemy?