What are all the opening positions that (at some point) have the g pawn pushed to g4?

I want to know this because I want to know what positions the Grob can transition into for something I'm working on related to the Grob

just off of the top of my head, caro and french sometimes feature pawn pushes like g4, h4, f4. however those are much later in the game and impossible to transpose from the grob.

Grob is the best opening you #%$&#, blasphemy!!! 

1. G4 - the one and only 

I would never betray the grurch, I'm simply asking for Grob variations that have been named incorrectly

No joke the grob is the opening I have the worst record against. I suspect this wouldn't be the case if I faced it more often than 1 out of 500 games.

i like grob

contrary to what many say, the grob isn't actually that awful. Although at top level chess it's horrible, most don't know much theory, and a strong grob player can achieve a good position. 

I've been playing G4 in many English opening games, I think those are more likely to transpose from the Grob

There are probably thousands of such positions, if you include all the reasonably sound variations of the Sicilian that have a g2-g4 Pawn push.

[Event "Vs. Computer"] [Site "Chess.com"] [Date "2023-07-16"] [White "2Vidius"] [Black "Maximum"] [Result "1-0"] [TimeControl "-"] [Termination "2Vidius won by checkmate"] 1. g4 d5 2. Bg2 c6 3. e4 e5 4. exd5 cxd5 5. d4 exd4 6. Qxd4 Nc6 7. Qxd5 Qxd5 8. Bxd5 Bxg4 9. Nc3 Rd8 10. Be3 Nf6 11. Bxc6+ bxc6 12. h3 Be6 13. Nge2 c5 14. Na4 Nd5 15. Bxc5 Nb4 16. Rc1 Bxa2 17. Rg1 Bxc5 18. Nxc5 O-O 19. Rg4 a5 20. b3 Rc8 21. c3 Rxc5 22. cxb4 Re5 23. Rg3 Rfe8 24. Re3 Rxe3 25. fxe3 axb4 26. Nd4 g6 27. Kd2 Rd8 28. Kc2 f5 29. Kb2 f4 30. Kxa2 fxe3 31. Nf3 e2 32. Ne1 Kg7 33. Rc2 Re8 34. Rc4 Rd8 35. Kb2 g5 36. Rc2 Re8 37. Rd2 Re3 38. Rd3 Rxd3 39. Nxd3 Kg6 40. Kc2 Kh5 41. Kd2 Kh4 42. Nf2 Kg3 43. Kxe2 h6 44. Ke3 Kg2 45. Ng4 h5 46. Nf2 h4 47. Ke2 Kg3 48. Kf1 Kh2 49. Ne4 Kxh3 50. Nxg5+ Kg4 51. Ne4 Kf4 52. Nd2 Ke3 53. Nc4+ Kf3 54. Ne5+ Ke4 55. Nc6 h3 56. Nxb4 Kd4 57. Nc2+ Kc3 58. b4 h2 59. Kg2 Kc4 60. Kxh2 Kd5 61. Kg3 Kc4 62. Kf4 Kd5 63. Ke3 Kc4 64. Kf4 Kd5 65. b5 Kc5 66. Nd4 Kxd4 67. b6 Kc4 68. b7 Kb3 69. b8=Q+ Kc4 70. Qd8 Kc3 71. Ke4 Kb2 72. Kd3 Kb3 73. Qb8+ Ka3 74. Kc4 Ka2 75. Kc3 Ka3 76. Qa8# 1-0

The English can transpose to g4, when h3 is played to kick the bishop away with tempi.

The Grob is literally the only way White can lose by force on the first move. It’s the single worst opening in the game for White.

What about the Keres attack?:

1. e4 c5 2. Nf3 d6 3. d4 cxd4 4. Nxd4 Nf6 5. Nc3 e6 6. g4!

the Keres attack is considered as very good for white, and has convinced many scheveningen players to change their move order to avoid g4

Some Czech Benoni and KID positions involve g4.