I made a small web applet in which you can play Lunar Lockout. The first 40 puzzles are the official puzzles by the makers of the game, and the following 80 are puzzles generated by an AI.
The applet can be found here: https://elmosfire.gitlab.io/lockoutpuzzles/
In addition, all solutions to the official puzzles can be found here, nicely animated: https://www.youtube.com/watch?v=35rG8Cl0Hac
The Rules:
The characters can only move up, down, left and right.
You can only move a character on the board if its movement can be blocked by another character.
The red character will pass over the centre square unless a proper block has been made for normal movement there.
Movement:
In order to move the different characters, you must first click the character you would like to move.
This character will stay selected until you click another one or you beat the match.
Upon starting a new level the red character will become selected
Use the number pad or arrow keys to move your character.