Does anyone know of a stalemate where no pieces have been taken? 

I'm pretty sure this is impossible.

Many years ago, I once achieved checkmate without a single capture in the game. (I remember that the final move was Nf6#, attacking the King on e8 and guarding the only other vacant square, d7.) But stalemate? This is curious. Can we prove that it's impossible--or possible?

Don't ask me how you get there, but black's stalemated in this position.

It must be possible then. Thanks for the diagram! Anyone wanna find a way to get to that position? 

No.

The above board is impossible. Look at the G8 Bishop. It couldn't have moved. Yet the H8 Rook has landed in front of it. 

Actually, it's illegal, because the LSB had no way to get to that square. There probably is a way though. I'll mess around and see what I can find.

http://www.chess.com/games/view.html?id=1289049#

Well, what do you know? It's possible

had to have agreed on a draw beforhand

I think this game was planned to stalemate with no captures.  But still, anythings possible!

jrcolonial98 and I made our own version on live chess, though many pieces were taken. http://www.chess.com/livechess/game.html?id=155922240

and if its this simple to get one then it must be that quite simple to come up with a few more.

thats pretty much identical to the one i posted

Either I am mistaken, which could be the case, or black's white bishop traveled through some kind of worm hole to get to its current position. Notice how the pawns haven't yet moved....

See post 8