Probably the most aggressive opening without being unplayable in chess is Double Muzio Gambit in King's Gambit, which suicide-bombs two minor pieces at f7 for a wildest possible opening attack:
[FEN ""]
[Title "Double Muzio Gambit"]
1. e4 e5 2. f4 exf4 3. Nf3 g5 4. Bc4 g4 5. O-O! {Strongest continuation, Muzio gambit! White sacrifices a piece for better development and attack(a very wild one)} gxf3 6. Qxf3 Qf6 7. e5 {after Qxe5, white can play d4 with tempo, increasing deveolpment advantage} Qxe5 8.Bxf7+!!? {Double Muzio Gambit, doubles the fun, now its kill or to be killed. White has two big pieces in f-file, and also black king is on the same file, white has a clear development advantage, shortly white has the wildest possible attack in 8 moves}
I invite you to see this nice analysis about Double Muzio Gambit
I played this variation succesfully in OTB games. If you think that this can't be playable, then check this master game:
[Title "Kuznetsov, Sergei (2396) vs. Korjakin, Boris (2274) - 2007"]
[FEN ""]
1. e4 e5 2. f4 exf4 3. Nf3 g5 4. Bc4 g4 5. O-O gxf3 6. Qxf3 Qf6 7. e5 Qxe5
8. Bxf7+ Kxf7 9. d4 Qxd4+ 10. Be3 Qf6 11. Nc3 fxe3 12. Qh5+ Kg7 13. Rxf6 Nxf6
14. Qg5+ Kf7 15. Rf1 Bg7 16. Nd5 e2 17. Rxf6+ 1-0
Not satified? Another master game:
[Title "Lanzani, Mario (2371) vs. Sheskin, Matan (2207) - 2010"]
[FEN ""]
1. e4 e5 2. f4 exf4 3. Nf3 g5 4. Bc4 g4 5. O-O gxf3 6. Qxf3 Qf6 7. e5 Qxe5
8. Bxf7+ Kxf7 9. d4 Qxd4+ 10. Be3 Qf6 11. Bxf4 Ne7 12. Nc3 Qf5 13. Qe3 d6
14. Bg5 Nbc6 15. g4 Bg7 16. Nb5 Qxf1+ 17. Rxf1+ Ke8 18. Bxe7 Nxe7
19. Nxc7+ Kd7 20. Nxa8 b6 21. Rf7 Be5 22. Qg5 Re8 23. Nc7 h6 24. Qh4 1-0
If you think that the line is unplayable and white is winning just because of being stronger about 130 Elo, then check this evaluation of Komodo-9.3. A GM-slayer chess engine can't find a winning advantage too:
[Title "After 10...Qf6 | Komodo-9.3 Depth:31 -0.30"]
[FEN "rnb2bnr/pppp1k1p/5q2/8/5p2/4BQ2/PPP3PP/RN3RK1 w - - 2 1"]
1. Nc3 Nc6 2. Bxf4 d6 3. Nd5 Qf5 4. Be5 Qxf3 5. Rxf3+ Bf5 6. Bxh8 Nge7
7. Nxc7 Rc8 8. Nb5 Ke6 9. g4 Bxg4 10. Rf6+ Kd7 11. Rxd6+ Ke8 12. h3 Be2
13. Nc3 Bh5 14. Ne4 Nf5 15. Nf6+ Kf7 16. Rd7+ Kg6 17. Nxh5 Bc5+ 18. Kh1 Kxh5
19. Bc3 h6 20. Re1 Bf2 21. Re6 Rf8 22. b3 Ncd4 23. Bxd4 Bxd4 24. Rxb7 Kh4
25. Kh2 Rg8 26. Rb4 {-0.30}
If it can't find, we can say that our opponents can't find over the board too. Therefore, we can say that this line is definitely not a cheap opening trap, and absolutely playable. Black seems to have only a little advantage in this very uncomfortable extremely sharp defensive position, while White is enjoying the attack.