The Adventures of Buckaroo Banzai Across the 8th Dimension (1984)

"Beings from another dimension have invaded your world. You can't see them... but they can see you. Your only hope is Buckaroo Banzai."

Adventurer/surgeon/rock musician Buckaroo Banzai and his band of men, the Hong Kong Cavaliers, take on evil alien invaders from the 8th dimension.