Variant Idea

1. No Trade

A piece cannot capture the same piece(except for pawns).

--> White Queen cannot capture Black Queen.

So they cannot trade their pieces.

2. Winmate

A player whose king is stalemated wins the game

In this position, Black wins the game.

+1

This could be interesting, although I would suggest allowing pawns to be traded so that the position doesn't completely lock up. +1

oops.

+1 means i agree this would be good right cus if so +1 thats an awesome idea

+1

Nice, interesting idea

+1

Double decker chess

The rules are the same as in classical chess, but the amount of material and the arrangement is slightly different.
 

or

Or what?

Half-random chess.

The rules are the same as in classical chess, but black chooses the arrangement of the pieces himself.

With both rules... 

Black win?

If it's white's move you can just do Qe6+ then black will be forced to do Qd7+ and then white can do Qd7#

If it's Black's move, yes. Otherwise, Qd7#.

Edit: Actually, not if kings can be adjacent.

Self mate puzzle evolution 

Kd8 stalemate black win

no, black can play Kd8 because he isn't moving into check.

(Kings can't capture kings)

The good old draw  

White up a queen with no other pieces