The following traps do not lead to any positional loss for the side setting the trap. It's obviously not an exhaustive list-
A common trap in the Sicilian
[FEN ""]
1. e4 c5 2. Nf3 d6 3. c3 Nf6 4. Be2 Nxe4?? 5. Qa4+ Bd7 6. Qxe4
Queen's Gambit Elephant Trap
[FEN ""]
1. d4. d5 2. c4 e6 3. Nc3 Nf6 4. Bg5 Nbd7 5. cxd5 exd5 6. Nxd5?? Nxd5 7. Bxd8 Bb4+ 8. Qd2 Kxd8 9. e4 Bxd2+
Trap in the Alapin Sicilian
[FEN ""]
1. e4 c5 2. c3 d5 3. exd5 Qxd5 4. d4 e6 5. Nf3 Nc6 6. Bd3 cxd4 7. cxd4 Nxd4?? 8. Nxd4 Qxd4?? 9. Bb5+ Bd7 10. Qxd4
Cambridge Springs Trap
[FEN ""]
1.d4 d5 2.c4 e6 3.Nc3 Nf6 4.Bg5 Nbd7 5.e3 c6 6.Nf3 Qa5 7. Bd3?! dxc4 8. Bxc4 Ne4 9. Qc2?? Nxg5 10. Nxg5 Qxg5
Trap in Sveshnikov Sicilian
[FEN ""]
1. e4 c5 2. Nf3 Nc6 3. d4 cxd4 4. Nxd4 Nf6 5. Nc3 e5 6. Ndb5 d6 7. Nd5 Nxd5 8. exd5 Ne7 9. c4 a6? 10. Qa4 axb5 11. Qxa8 (10...Qd7 11. Nxd6+)
Trap in the Philidor defense
[FEN ""]
1. e4 e5 2. Nf3 d6 3. d4 Nd7 4. Bc4 Be7? (4... Ngf6? 5. dxe5 Nxe5 6. Nxe5 dxe5 7.
Bxf7+ Kxf7 8. Qxd8 Bb4+ 9. Qd2 Bxd2+ 10. Nxd2) 5. dxe5! dxe5?? (5... Nxe5 6. Nxe5
dxe5 7. Qh5 g6 8. Qxe5) 6. Qd5 Nh6 (6...Nf6?? 7.Qxf7#) 7. Bxh6 O-O 8. Be3
Ruy Lopez Noah's Ark Trap
[FEN ""]
1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Ba4 b5 (4... d6 5. d4 b5 6. Bb3 Nxd4 7. Nxd4
exd4 8. Qxd4?? c5) 5. Bb3 d6 6. d4 Nxd4 7. Nxd4 exd4 8. Qxd4?? c5 9. Qd5 Be6 10.
Qc6+ Bd7 11. Qd5 c4
Siberian Trap in the Smith-Morra Gambit
[FEN ""]
1. e4 c5 2. d4 cxd4 3. c3 dxc3 4. Nxc3 Nc6 5. Nf3 e6 6. Bc4 Qc7 7. O-O Nf6 8.
Qe2 Ng4 9. h3?? Nd4! 10. Nxd4 (10. hxg4 Nxe2+) (10. Qd1 Nxf3+ 11. Qxf3 Qh2#) 10...
Qh2# 0-1
Trap in the Rauzer Sicilian
[FEN ""]
1. e4 c5 2. Nf3 d6 3. d4 cxd4 4. Nxd4 Nf6 5. Nc3 Nc6 6. Bg5 e6 7. Qd2 a6 8. f4
h6 9. Bh4? Nxe4! 10. Nxe4 (10. Bxd8 Nxd2 11. Nxc6 bxc6 12. Bc7 Nxf1) 10... Qxh4+
11. g3 Qd8