1. e4 c5 2.Bc4?

After seeing Carlsen play 1.e4 c5 2.Nf3 d6 3.d4 cd4 4.Qxd4 a6 5.h3 in one of the most important games of his life (to break the all-time live-rating record), I'm willing to accept almost anything as long as it's not actually losing for white.

In general, Black still has a a much narrower path to equality than White does. So Black can't take this same cavalier attitude.

But as long as 1.e4 c5 2.Bc4?! is part of a well-considered plan of development, it shouldn't lose. And perhaps the opening will work against the overly bookish players!

If  I play as black and make these moves, are they good ?

for me it looks good, but for a better player.. i dont know it might be bad

and 5 be7 is a blunder??

No..5 b-e7 is fine...Its just a matter of taste.  You will probably see something like

Since we are back to this (yet again) here is an opening idea for White revolving around a 5. a4 idea that is pretty good, the idea being tha White delays or does not play d4 at all. This really is one of the only opening lines I can see White playing save the Cicek games posted earlier

Better for Black is to play 3... a6 into a taimanov proper and after 4. a4, try to develop the Bishop to b7 quickly when pressure will almost force an eventual d4 reply from White.

3...a6 is ok of course. But White can hope for some small advantage in the Taimanov. But Black doesn't have to allow such a transposition unless he wants it.

White does not deserve any objective advantage after 2.Bc4 though, which is why ...d5 ideas are so critical. Black may not be better after he plays ...d5 in the Sicilian, but he's usually reached an equal game if he can play it without allowing any tactical tricks.

I prefer this out of all (it's called the Bowlder Attack) because it body blocks the pawn and threatens f7 Scholar's Mate AND sets up the Bull's Head:

I got confused by the previous poster's comment. After 1.e4 c5 2.Bc4 e6 White's best is 3.Qe2, but there's no Taimanov Sicilian there. 

If 3.Nc3, then definitely, 3...a6 is great!

Black is at least equal and the following game, against a +2200 opponent, shows Igor Stohl successfully fighting to win. The game's not perfect, but I don't think white was ever in danger of winning this one:

As pointed out 2. ... e6 allows for d5 at some point, which forces the white bishop away and clears the center.

If you like Bc4 I would play the open Sicilian (2. Nf3) and hope for him to play the main line as well (2. ... d6), which makes Bc4 a viable move.

what if 5....Be7 and on Bb5+ , Nc6 Bxc6+ bxc6 looks good ??

true Smyslov, there are no games existing in a DB for the Taimanov (Paulsen) Sicilian. I simply advocate the Taimanov (either the "pure" with 5... Nge7 or even going in for the lines with 5... Nc6.

I got away from playing this Sicilian lines save for a couple friends who are diehard 2. Bc4 players. However the a6/e6 foramtions against Bc4 seem to be reletively sound. about the only real hardships I have seriously faced (though most of my friends are at best 1900-2000 USCF tops). is the lines where White plays the early a4, denying Black an immediate b5. Still, it is a solid base to build off of when facing 2. Bc4 I guess.

thank you BLueKinghtshade and BillC for your helpful comments and your work. I looked this up, found this discussion, and found your comments and games posted useful. Thanks again. 

I'm never impressed by it, just develop sensibly and naturally, place a pawn on e6 with the idea of a d5 pawn push, castle out of the inevitable pin after said pawn push, and just hold.  As usual black's counter punches come later after some preperation but, again, as usual both sides have their chances.  Mainline Sicilians actually give black more problems though, but if you play the Sicilian you should know them anyway. 

[Event "AI Factory's Chess"]

[Site "Android Device"]

[Date "2013.10.11"]

[Round "1"]

[White "Cpu (1)"]

[Black "You"]

[PlyCount "50"]

[Result "0-1"]

1. e2e4 c7c5 2. Bf1c4 Ng8f6 3. Ke1f1 g7g6 4. d2d4 b7b6 5. b2b3 Bf8g7

6. Nb1c3 e7e6 7. h2h4 Nf6xe4 8. Rh1h3 d7d5 9. Bc4e2 Ne4xc3 10. Be2g4 Nc3xd1

11. b3b4 c5xb4 12. f2f4 e6e5 13. f4f5 g6xf5 14. Bg4h5 f5f4 15. Rh3f3 e5e4

16. Ng1h3 e4xf3 17. a2a3 Qd8xh4 18. Bc1xf4 O-O 19. Bf4xb8 Ra8xb8 20. Ra1c1 Nd1e3+

21. Kf1g1 Rf8d8 22. Bh5xf3 Qh4g3 23. Kg1h1 Bg7xd4 24. a3xb4 Bc8g4 25. Bf3xg4 Qg3xg2# 0-1

this was my response to seeing the computer play into the bowlder attack and it worked out well for me but also the computer was set to 1 and its the only time I have ever seen it take that line vs. a sicilian

How does d5 necessarily force bishop away and not a bunch of trading? Trying to learn something here thanks.

Black owns the d5 square(more pieces "attacking it") so there can't be a simple trade of pieces(including the bishop) on d5.  White can exchange pawns but then they will have to move the bishop or lose it to the lowly pawn.