The Closed and Anti Sicilians
The Closed Sicilian
The Closed Sicilian is a positional way for white to avoid the theory and sharp positions associated with the Open Sicilian lines. White plans to build up an attack on black's king by maneuvering their pieces to the king's side, launching their king's side pawns forward and playing the pawn break e5 or if possible f5. Black on the other hand will try for a quick queen's side expansion, play on the dark squares in the center especially d4, and possibly the lever ...f5! to slow down white's attack. Pushing ...d5 is usually not recommended for black since closing the center favors white, the exception being when a knight can comfortably land on f5. The Closed Sicilian doesn't offer white much if any advantage out of the opening and black shouldn't have problems if they're well prepared. Though the opening isn't crushing, it is reliable and has been played by the likes of former WC Karpov and more recently super GM Adams.
The Grand Prix Attack
In the Grand Prix Attack white develops as quickly as possible and plans to play a hyper aggressive king's side attack with Qd1-e1-h4, Bc1-h6, Nf3-g5, and a well timed f4-f5. White will also usually play Bb5, and if allowed exchange the bishop for the c3 knight to damage the black pawn structure then play against black's weaknesses. Black's plan includes queen's side play typically including b7-b5, and possibly d7/d6-d5 to fight in the center. Black must also defend against whites king's side attack and sometimes choses to play f7-f5 in hopes of slowing white down however f7-f5 does create some weaknesses and white may try to prove it too weakening.
The King's Indian Attack
The King's Indian attack is a flexible system with many plans and move orders for white, therefore it is difficult to give a lot of theory. Although white has so many options the KIA doesn't offer white an advantage out of the opening unless facing an e6 sicilian, e6 is a move black should avoid in these lines because the pawn often prefers to be on e5 or e7. Black should play for a queen's side attack, usually including Rb8 and b7-b5, and they should try to maintain control of d4 (the plans are similar to a closed sicilian) by playing e5 in some cases or by trading the light-square bishop for the f3 knight (an idea which white may rule out with h3). White has the choice of which side of the board they'd like to play on. They can play on the queenside with a2-a3 and b2-b4 or a4 and Nb1-d7-c4, they can play in the center and try to break through with c2-c3 d2/d3-d4 or they can choose to play on the king's side with Nh4, f2-f4, or h4-h5-h6 to soften the king, and maneuver the knight over Nb1-d2-e3/h2-g4. Since white has so many different approaches in this system its best to learn the plans not the move orders/theory, with a little prior knowledge the KIA isn't much of a challenge for the Dragon set-up.
The c3 Sicilian
The c3 sicilian is a sound opening and therefore one of the toughest anti-sicilians for black to face. White's idea is simple build a nice pawn duo in the center with c2-c3 and d2-d4, develop pieces as quickly as possible, and try for an attack. Black has many responses and some lines are very sharp and require accuracy, however the line i've chosen to play is a very solid try for black in which often times white has a slight lead in development (and a few weaknesses) but black's extremely solid structure compensates for a slight lag in development. Because this line isn't so sharp black should be able to equalize equipped with just a few ideas and a bit of accuracy.
The Bb5 Sicilian
The Smith-Morra Gambit
The Wing Gambit
st george (basman) system
4.Qxd4
2.b3