Here is a map for all 15 levels of The Last Starfighter. This is actually a map from the game Uridium, so you may notice the colors of the ships are off.

Red - Barriers that will kill you. I drew some extra lines to guide you away from death. There may not be a barrier under every red line. Green - Landing strip

Here are levels 1-15.

Here are levels 1-15 with the route that I came up with in purple.