Based on the 1984 movie The Adventures of Buckaroo Banzai, you are Dr. Banzai and you need to stop a bomb set by the aliens Black Lectroids from going off.
The Adventures of Buckaroo Banzai: Across the eighth dimension (http://www.mobygames.com/game/adventures-of-buckaroo-banzai-across-the-eighth-dimension) was a graphics adventure game published by Adventure International in 1984 for the Apple ][. The game was powered by the Scott Adams Graphics Adventure (SAGA+) engine.
According to Scott Adams, this game is number 41 in the Scott Adams Graphic Adventure (SAGA) series, after the game Return to Pirate’s Island, which was number 14 in the series. https://www.lysator.liu.se/adventure/scott_adams_14.html
The long play is done completely by Smartadventurer, a program that I wrote to automate the playing for vintage Apple ][ games. The program interacts with Virtual ][ (http://virtualii.com), an awesome Apple ][ emulator for Mac OS X. You can follow my project here: https://vinniethelung.wordpress.com/tag/smartadventurer/
Hope you enjoy the walkthrough!
Cover art image from www.mobygames.com