Okay well it took me more than an hour to get to 50, but still a great exercise!
1. Chemical rocket
2. Launch off of space elevator beyond geosync
3. Giant balloon (aim carefully you can’t steer)
4. Coilgun
5. Launch loop (seriously how has nobody built this yet)
6. Railgun
7. Nuclear thermal rocket
8. Electric (ion) rocket powered by capacitors or batteries (ok might be a little heavy)
9. Electric (ion) rocket powered by lasers from the ground
10. Ablation rocket powered by lasers from the ground
11. Spaceplane combined with any of the rocket types, especially ablation rocket
12. Giant crossbow
13. One of those extending boxing glove toys with all the struts forming parallelograms (apparently this mechanism is called a “pantograph”)
14. Series of nested giant crossbows: each one shoots a smaller crossbow
15. Hitch a ride on a passing asteroid using a tether
16. Use superconductors to levitate a flux-pinned magnet to the moon
17. Fusion rocket
18. Project Orion-style nuclear bomb rocket
19. Run a tether from the moon to the earth, and just let the tip drag along the ground and you can attach climbers to it as it goes by every day
20. Antimatter rocket
21. Ramjet
22. Bussard ramjet
23. Trebuchet
24. Bubble cavitation in a vacuum (could launch a tiny particle at high velocity from LEO)
25. Light gas gun
26. Plasma gun? Is that a thing?
27. Combination balloon and solar sail. The balloon lifts the solar sail until the air is too thin to keep rising, and then the sail takes off.
28. Build a giant radiotelescope to contact space aliens and ask them to carry something to the moon for you.
29. Ablation rocket powered by the sun (using dry ice maybe)
30. Hack the simulation and add code to teleport stuff on your command
31. Build a space elevator on the moon and use it to launch chunks of rock constantly towards earth, which you catch with a see-saw contraption to launch something smaller back the other way
32. Nuclear explosion underground that launches a big chunk of steel through a borehole, like in Operation Plumbob (have to use something longer and tungsten-coated so it doesn’t vaporize)
33. Light sail powered by lasers from the ground
34. Use lightning to superheat pressurized gas in a massive gun chamber
35. Kite that turns into solar sail once it clears most of the atmosphere
36. Build a giant tower from Earth that reaches almost to the moon, with a vacuum chamber inside so it can be supported by an electron beam, and then just toss things from the top
37-39. Practice, practice, practice
40. Get that arm surgery that lets pitchers throw faster than they did before they were injured, but like 50 times
41. Stow away on the next moon launch
42. Bring the moon to you: rob the Earth of its rotational energy by over-using your space elevator, and the moon will slowly drift closer due to tidal locking (I think)
43. Fake a Dr. Evil-style terrorist threat to force the government to send people to the moon to stop you.
44. Rename your home to “the moon”
45. Something with carbon nanotubes (grow them to the moon I guess?)
46. Great great great great great pyramid
47. Drink way too much coffee in order to come up with more ideas (recursive self-improvement technique?)
48. Nuclear-powered jet engine that builds up momentum by circling the Earth a bunch of times like superman, at slightly higher altitude each time
49. Some kind of reactionless drive based on Hawking radiation
50. Just send neutrinos to the moon, nothing will stop them. (You are already doing this.)
Okay well it took me more than an hour to get to 50, but still a great exercise!
1. Chemical rocket
2. Launch off of space elevator beyond geosync
3. Giant balloon (aim carefully you can’t steer)
4. Coilgun
5. Launch loop (seriously how has nobody built this yet)
6. Railgun
7. Nuclear thermal rocket
8. Electric (ion) rocket powered by capacitors or batteries (ok might be a little heavy)
9. Electric (ion) rocket powered by lasers from the ground
10. Ablation rocket powered by lasers from the ground
11. Spaceplane combined with any of the rocket types, especially ablation rocket
12. Giant crossbow
13. One of those extending boxing glove toys with all the struts forming parallelograms (apparently this mechanism is called a “pantograph”)
14. Series of nested giant crossbows: each one shoots a smaller crossbow
15. Hitch a ride on a passing asteroid using a tether
16. Use superconductors to levitate a flux-pinned magnet to the moon
17. Fusion rocket
18. Project Orion-style nuclear bomb rocket
19. Run a tether from the moon to the earth, and just let the tip drag along the ground and you can attach climbers to it as it goes by every day
20. Antimatter rocket
21. Ramjet
22. Bussard ramjet
23. Trebuchet
24. Bubble cavitation in a vacuum (could launch a tiny particle at high velocity from LEO)
25. Light gas gun
26. Plasma gun? Is that a thing?
27. Combination balloon and solar sail. The balloon lifts the solar sail until the air is too thin to keep rising, and then the sail takes off.
28. Build a giant radiotelescope to contact space aliens and ask them to carry something to the moon for you.
29. Ablation rocket powered by the sun (using dry ice maybe)
30. Hack the simulation and add code to teleport stuff on your command
31. Build a space elevator on the moon and use it to launch chunks of rock constantly towards earth, which you catch with a see-saw contraption to launch something smaller back the other way
32. Nuclear explosion underground that launches a big chunk of steel through a borehole, like in Operation Plumbob (have to use something longer and tungsten-coated so it doesn’t vaporize)
33. Light sail powered by lasers from the ground
34. Use lightning to superheat pressurized gas in a massive gun chamber
35. Kite that turns into solar sail once it clears most of the atmosphere
36. Build a giant tower from Earth that reaches almost to the moon, with a vacuum chamber inside so it can be supported by an electron beam, and then just toss things from the top
37-39. Practice, practice, practice
40. Get that arm surgery that lets pitchers throw faster than they did before they were injured, but like 50 times
41. Stow away on the next moon launch
42. Bring the moon to you: rob the Earth of its rotational energy by over-using your space elevator, and the moon will slowly drift closer due to tidal locking (I think)
43. Fake a Dr. Evil-style terrorist threat to force the government to send people to the moon to stop you.
44. Rename your home to “the moon”
45. Something with carbon nanotubes (grow them to the moon I guess?)
46. Great great great great great pyramid
47. Drink way too much coffee in order to come up with more ideas (recursive self-improvement technique?)
48. Nuclear-powered jet engine that builds up momentum by circling the Earth a bunch of times like superman, at slightly higher altitude each time
49. Some kind of reactionless drive based on Hawking radiation
50. Just send neutrinos to the moon, nothing will stop them. (You are already doing this.)