1.d4 e5 can be worth a shot
Budapest Defense Repertoire

Except that after 1.d4 e5? 2.dxe5 Nc6 3.Nf3 Qe7 4.Bf4 Qb4+ 5.Bd2 Qxb2 6.Nc3 White is way better, so Black has to find an improvement somewhere. The best place to look is move 1.
You mean 1.d4 e5?!, not e5?.

In the Englund Gambit tournament I played in I opted for 1.d4 e5 2.dxe5 Nc6 3.Nf3 Nge7. The idea is to "just" play ...Ng6 so often white plays Bg5, and black kicks with ...h6
It's still bad, but it might not be as bad as ...Qe7. After the tournament ended, and even though I won it, I came to the conclusion that black's best practical chance is probably to gambit the pawn for real and just play 1.d4 e5 2.dxe5 Nc6 3.Nf3 f6 or something like that.

The Budapest is not a good opening. The reason people play it is because they wish to avoid theory. If white plays 2.Nf3 well you're just SOL I guess huh. Funny to be out of book by move 2.
But that's what you get for playing the Budapest.

I've been playing the Budapest a long time, and it was fun while it lasted, but I'm getting a little weary of it. I'm geting to be a fan of the QGA now, but that still doesn't answer the question what to do if White avoids c4....
The theory on the Budaest is still evolving. The currenit theory inovolves the Rook
lift move with black playing a5 and Ra6. And also the Jet Black variation with
1.d4 Nf6 2.c4 e5 3.dxe5 Ng4 4.Bf4 the Rubinstein line and now Black plays 4...g5
attacking the B at f4. White has to decide what to do with the B at f4. Either play
Bd2 or Bg3. Both lines have been played at the GM level.
I used to play another line where the black B went to a7 and back to b8 and later
Black plays to open up his center pawns and this releases the B at b8 for an
attack on the White kingside.
To say that the Budapest is no good or busted is definitely wrong. That is what
my friend National Master Reynolds Takata believes. He will be in for a shock
when he sees the current Budapest lines.
See the current book on the Budapest by Victor Moskalenko called "The
Fabulous Budapest Gambit".
Best Regards
DarthMusashi

If white plays 2.Nf3 well you're just SOL I guess huh. Funny to be out of book by move 2.
That was the point of this thread in the first place. I want to know what to play after 1.d4 Nf6 2.Nf3 and other moves that aren't Budapest Gambit-able.
After 1.d4 Nf6 2.Nf3 you could play 2...c5 shifting into a Benoni Defense, If White plays 3.d5 you could play 3,,,e6 and if 4.c4 Black plays b5 shifing into the Blumenfeld Counter Gambit. The Blumenfeld is an interesting gambit to play and is not very well known as the Benko Gambit.
If 1.d4 you could play 1...d5 2.Nf3 e5 The Omega Osiris Gambit. See my article at chessville in my column called "The Search for Dragons and Mythical Chess Openings".
Best Regards
DarthMusashi

How do you know the 1.d4 d5 2.Nf3 e5 gambit is stupid? This opening shifts into 2 types of gambits. If 3.dxe5 f6 which is a form
of the Blackmar Diemer Gambit called the Soller Gambit. And if 3.Nxe5 Nc6 4.Nxc6 bxc6 this becomes a reverse Omega Gambit which is very dangerous because White has one less defender on the kingside. If 3.Nxe5 Nc6 4.Nf3 Black has Bg4. See my article at Chessville on the Omega Osiris Gambit. I even took out a chess engine with this gambit.
I do not understand why you say it is bad just because Black drops a pawn in
the opening. But this is the nature of this gambit. You should look at the games
and analysis before passing judgement on this opening.
My friend National Master Reynolds has also said that the move e5 cannot be
played. You are not the only one that believes that the e5 move is bad.
Best Regards
DarthMusashi
As black, vs. 1.d4, I play the Budapest. But that is assuming that black plays 2.c4 after 1...Nf6. What should I play vs. 2.Nf3, 2.e3, 2.g3, 2.Bg5, 2.Nc3, etc.?