Here is a game which will always fascinate me. A player with roughly master strength ignores all the opening principles:
The unsoundest opening that you've ever lost a game to

1.a3 is sometimes referred to as the Anderssen Opening, because Adolf Anderssen played it against Paul Morphy a few times during their match.

Well I've lost to the Delayed exchange (double deffered?) variation of the Ruy Lopez at least twice now. That's pretty frustrating. Umm... lost to the haloween gambit a couple times. ... otherwise most of my 'unsound' losses come from blitz games, which kinda doesn't count :P.

Playing 1.e4 I have lost to 1...f5 in blitz, not sure what it is called but it is crap. I have also lost to the grob, which I actually don't consider totally bad. I have lost to the elephant gambit multiple times, especially in blitz. I hate it how my queen blocks in my king's bishop in the main line (or what I think is the main line) of it.
I'm pretty sure I have lost to every opening there is, and even a few that there isn't. So now the question is: what is the most unsound opening? I'm going to have to go with the Seppuku Gambit 1. e4 d6 2. Qg4!! (I have not lost to this though, lol)
That's a good thing...
"The lack of a brain helps my skull think better." - oinquarki
I think this gambit doesn't work...

1.e4 f5 is apparently known as the Duras Gambit or the Fred Gambit. Oldrich Duras was a strong player in the early years of the 20th century, but I don't think he ever played it against a strong master.

Damiano's Defence 1.e4 e5 2.Nf3 f6?! is regarded as unsound, and 3.Nxe5 is often given as one possible refutation. Stronger is 2...Nc6 leading to a Ruy Lopez or 2...Nf6 the Petroff.

I lost my first rated game here on chess.com to a scholars mate!! That was extremely painful, and although coming back from a queen down to win my first actual game (against my "greeter") did provide some solace, it didn't help my rating any...
A good friend of mine played nothing but the Grob for almost a year - yes, as white and black. So I must have lost to that a few dozen odd times...

I lost a game against the Damiano, after the moves 1. e4 e5 2. Nf3 f6 3. Nxe4 fxe4 4. Qh5 g6 5. Qxe5+ Qe7 6. Qxh8 Qxe4+ 7. Kd1.
It was a terribly embarrassing loss. I was up a rook, but ended up with my queen locked away in the corner, as I spent too much time developing and not enough time looking after my committed Excellency.

In the Damiano, I once allowed a draw after 1.e4 e5 2.Nf3 f6 3.Nxe5 Qe7, so I ended up switching to 3.d4. Not as violent, but I've chalked up five wins so far.

I've lost a couple of times to a strange variation of Alekhine's Defense where black moves 2...Ng8 instead of Nd5. Infuriating!
I'm ashamed to admit this but I lost to the Ruy Lopez, Fishing Pole variation once. I still have nightmares.
Like most Halloween Gambit enthusiasts, I learned how dangerous it could be the hard way -- busted in less than 25 moves. Shock turned to amazement, amazement turn to curiousity and curiousity turned to love. I've been paying it forward ever since....
2...Ng8 is not unsound. It's fine. I'm suprised someone like you would think it is.
In a 1 minute game I lost as black to 1 g4 d5 2 g5 Qxg5 3 a3 e5 4 d4 exd4 5 Bxg5, and resigned.

Petrosian played it once in a training game with Boleslavsky in 1966, but he ended up losing. Indian GM Chanda Sandipan also tried it once, but he also lost. In Gonnosuke's case though, I think it's more that he'd rather sac the piece than retreat it.

I think black can try to chip away at those pawns, and he hasn't commited to ...e6 like in the french. Now black lost many tempos of course but I'm sure he's ok as he's not so much behind in development but in pawn moves, like the regular alekhine. And a move like that would have much suprise value. It can't be too bad since in the regular ...Nd5 alekhine it's not like black's knight is ultra useful on b6 since it just attacks c4. If black is apparently ok when white advanced 4 pawns, what's so bad about 2 or 3? Fritz doesn't seem to hate it, though white gets the edge. It's one of those openings where concrete analysis is important not just black's ideas because I guess there are some sharp things white can do.
wow so many unheard of openings....