Perhaps THE best scoring defense on Lichess (White scores below 45% on 2000+ rating), even though it is positionally dubious and does not set any tactical traps.
1.e4 g6 2.d4 Nf6 3. e5 (3. Nc3 d5 4. e5 Ne4 5. Nxe4 dxe4) Nh5
you mentioned the main ones, Alekhine is the good one, with Pirc and Modern also black let's white to over extent and hopes to attack it later, and some side-lines or Caro-Kann and French with Nc3,
but the idea to rely on unsound opening is not advisable in general, it is better to learn some standard lines and get a playable position with chances for both ...