I'm fond of this particular position:

Either side to move is stalemate. It also allows for interesting positions like:

This is one I came up with. White to move is mate in one, black to move is mate in two. But what makes this unique is that all moves are forced for both sides--that is, white to move is mate in one whether white likes it or not, and vice-versa for black to move. My question is: is such a position possible where it is mate in one for both?

Yeah, I guess it's "possible" in the sense that the position can be set up, but not legal. Still interesting.

white can promote to a bishop or knight

Doesn't work, a SpieBoy. d8(N) or d8(B). My best is this position. I don't see anything blatantly illegal about it.

1 Qxc5 (that's close though, Sir).

Oh, whoops

Missed a much simpler solution. EDIT: Wait no...

Well that position is indeed simpler than tonydal's, but just as illegal. But a simple tweak makes it look good.

Let's see:

Ah, good idea, giving Black a legal last move.

On the computer workout I always come up with this stalemate

grantchamp, that position is not a stalemate. If it were black to move, then it would be stalemate. As it is, white has a forced mate.

this is a wicked forum.

what is the fastest stalemate??

The fastest I have seen is ten moves. I don't know if it's possible to have one faster.

how do you do one in ten moves??

Sam Loyd:

and Frederick Rhine

And with all the pieces:

(Loyd again)

And the fastest double stalemate (getting closer to the creative theme first started in this posting) -

By Minerva: