Someone played Be6 against me when he didn't know the Lolli Attack
Two Knights Defence 5...Nxd5!

Hmm, not sure if you are ignorant or trolling. As someone who plays the Italian game, I encounter this line a lot, and I dislike the Na5 variations. Black has a lot more initiative and compensation than you claim, with h6 and e5 coming. And your "refutation" of the Fried Liver is ridiculous, with 9. a6! giving black a lot of problems, and a difficult defence. Put simply, I feel I have better chances with the Fried Liver, than I do against the Na5 lines.

a6 is impossible, and a3 allows Nxc2. Surprising that a 1773 thinks that pawns can move 4 squares at a time

Sorry, I meant a3 (though a6 would give problems!). Nxc2+ isn't a problem. 10. Kd1 Nxa1 and despite being well down in material, white has excellent chances.

9. a3 is a good move. After 9... Nxc2 10. Kd1 Black can either play 10... Nd4 where the position is pretty equal or 10... Nxa1?! where Black will have to defend against a strong attack.

If you doubt me, look at Game Explorer in this line (and incidentally 5...Na5 is a move much prefered by masters). I know this doesn't always mean much, but trust me, in this case it does.

a6 is impossible, and a3 allows Nxc2.
After which black is losing.
Kd1 Nd4!

Hmm, not sure if you are ignorant or trolling. As someone who plays the Italian game, I encounter this line a lot, and I dislike the Na5 variations. Black has a lot more initiative and compensation than you claim, with h6 and e5 coming. And your "refutation" of the Fried Liver is ridiculous, with 9. a6! giving black a lot of problems, and a difficult defence. Put simply, I feel I have better chances with the Fried Liver, than I do against the Na5 lines.
I dont know about 9.a6 but 9.a3?? loses (9.Qe4 is best) after nxc2+ and nxa1 (White wins the rook on a8 but his knight gets trapped on a8, while the a1-knight escapes, as in an old game Roeczak-pfren where I resigned after 23 moves after 9.a3?? . It is even recommended by Alterman and most players don't know that it is losing (I didn't until I asked IM pfren)
However after 9.Qe4(!) white is definitely equal and black has to make a lot of good moves.
Pfren- I know that I have asked you a billion times but can you post the game?

a6 is impossible, and a3 allows Nxc2.
After which black is losing.
Kd1 Nd4!
Bxd5 maybe?

LOL- I started my post before pfren's post I did not know that he posted
pfren, seems like you're here when we wnt you to be

a6 is impossible, and a3 allows Nxc2.
After which black is losing.
Kd1 Nd4!
Kd1 nxa1!

a6 is impossible, and a3 allows Nxc2.
After which black is losing.
Kd1 Nd4!
Bxd5 maybe?
Sorry, forgot about that knight on d5, so 10...Nxa1 leaves black a rook up

it is hilarious that 3 intermediate (like me) players (Scottrf, RigasUT, 06-jwagg) dont know that 9.a3?? is a blunder. I feel like a GM now :D

it is hilarious that 3 intermediate (like me) players (Scottrf, RigasUT, 06-jwagg) dont know that 9.a3?? is a blunder. I feel like a GM now :D
Yeah, I'll be honest, was relying on the explorer. I don't play an immediate Nxf7 anyway.

it is hilarious that 3 intermediate (like me) players (Scottrf, RigasUT, 06-jwagg) dont know that 9.a3?? is a blunder. I feel like a GM now :D
That's not that surprising because GM Alterman gives "!" and reaches conclusion white is winning.
http://chesslessons.wordpress.com/2008/06/13/the-fried-liver-attack-part-3/
You are all victims of a massive fraud. In the Two Knights Defence, a recapture on d5 does not lose. It only results in the doubling of your pawns. Other defences for black lose a pawn for insufficient compensation. Nxd5 is therefore the BEST move. The Fried Liver is unsound