Here is the full list of all 15 Aliens Go Home Run achievements.
Unlock World 3
Beat 2-5
Unlock World 2
Beat 1-5
Unlock World 4
Unlock World 5
Beat all of World 1
Beat all of World 2
Beat all of World 3
Beat all of World 4
Beat all of World 5
Have a Bubble, Multiball, and BatWave at the same time
Beat all of Boss Rush Mode
Beat 3-5
Beat 4-5