What strange chess rules can you think up?

You can eat your own pieces and the "cannibal" piece gains the ability of the piece it ate

All are great ideas.  I'm calling Milton Bradley.

...a few new pieces and a bigger board.

For example, the ex-girlfriend piece moves like a snake and will eat her king if there is a material advantage possible.

The lying polititian piece can take back its move after you commit.

The Catholic Priest piece can  molest pawns.

And the computer geek piece can talk while your clock is running.

When you take an opponent's unit you also get to hit them over the head with a truncheon - one whack for every point the unit is worth.

So a forcing sequence of exchanges gets lively.

The slightly less violent version of this is "Wedgie Chess" which the reader can figure out for himself.

Only white can move the pawn 2 squares forward. This rule makes playing white really advantageous. The hippotamus defense will be the most common and populsr by following this rule.

A bag of Maltesers is kept next to the board. Whenever you capture on opponent's piece, you get to eat one. If you checkmate your opponent, you get to eat the rest, but if the game is drawn, the rest are shared.

A King can move two squares at a time but only to avoid checkmate.

Everytime your opponent captures a piece or a pawn, you must swallow it.

That's just creepy.  lol

sounds neat!

A player can put their king on a square controlled by 3 of their opponents pieces because triple-checks are not mentioned in the rules. It is only illegal to put your king in a check or a double-check.

If you castle to one side, get the king back to its original square, and have not moved the other rook yet, you can now castle the other way!

The Chess Dating Game - You play against your Girlfriend, Boyfriend, Wife, Husband, "significant other", etc.  Every game you win, the opponent takes off an article of clothing.  In the event of a draw, White takes the article off!

Lets keep this appropriate please?

I like the rule where the queen cannot be taken "under any circumstances."  It shows respect for women. And it could be marketed by Milton Bradley as "Elizabethan Chess," right?

The "lying politian piece" that can take back moves sounds like a good idea, except that it involves an oxymoron.

Questions about the truncheon:  Would it come with the game?  Wouldn't it have to be awfully heavy, to be realistic?  Wouldn't that make the chess set prohibitively expensive?  (someone has to be practical here)

When checkmate occurs the board blows up

Excellent!!  This renders future "strange rules" suggestions moot, as it results in the inevitable worldwide attrition of chess players.  

(Obviously, the first few incidences of early mortality will trigger an instant tsunami of "chess-player dropouts" -- players who eshew the game for no reason other than Shear Cowardice!)

Resignation is not permissible either. The game cannot end  by resignation but must end by checkmate.

Right, people are getting better at crosswords as well, and for no particular reason either.

When ever you lose a game in the Nimzo Indian Defense you should be lashed with a whip 2 times.

Than be forced to pray to baby Aron Nimzowitch for forgiveness.