Does anyone play this sometimes as Black?: 1. e4 d5   2. exd5  e6  3. dxe6 Bxe6 ...

I don't play... I can't see why should we play that. We lose 1 pawn and we don't win any positional advantage...

Isn't this the Icelandic gambit or something?

I dont know the name.

the problem with that is white can play the following

It's a transposition to the Boehnke gambit.

 

 

 

 

 

 

I think it's a bit unsound. But if you want to play it play it with 2...e5

I prefer to play the portugese variation which the Icelandic gambit comes from:

 

 

 

 

IM David Smerdon plays the Icelandic gambit.  It was also suggested in "gambit opening repertoire for black" by Eric Schiller.

The original question poses something similar to icelandic gambit, but without the advantageous part. Here is how it is done (there are 2 ways to do it).

Note that defending with the knight allows the queen to come out without the strong tempo move and forces a weaker tempo move.

srn347 I believe that your first example is actually a transposition into the Caro Kann Panov-Botvinnik variation.

In the Panov-Botvinnik, there is a pawn on d4, a black pawn on d5.

I'm not seeing the advantage for black there?

Clearing away BOTH center pawns should always be weighed very heavily.  I really don't see the advantage of doing so.  

Maybe I'd play this in a 5 min game, but in a serious game I'd steer clear.

looks like standard icelandic gambit

The difference is that there is no pawn on d4.  Its a panov botvinnik related line shall we say.

In the standard Icelandic (1.e4 d5 2.exd5 Nf6 3.c4 e6!? 4.dxe6 Bxe6), white has played c2-c4, but not d2-d4 yet. Because of this, d3 and d4 are weak (can't be defended by pawns) and black is going to try to prevent d2-d4, by means of Bc5, Nc6, those sort of moves. If white avoids this with the immediate 5.d4, black gets good play with 5...Bb4+ (see game explorer; black scores much better than white!)

 

In your variation (1.e4 d5 2.exd5 e6? 3.dxe6 Bxe6), white hasn't played c2-c4 yet, so this whole black plan is moot. White can always play something like c3 and d4, if necessary. Black is just a tiny bit ahead of development, which isn't close to enough for the gambited center pawn.