Sci-fi and action:
The Time Bandits
Bill & Ted's Excellent Adventure
Moonraker (James Bond)
Fantasy and action:
The Goonies
Indiana Jones (1, 2, 3 only)
Action only:
Any James Bond from 80s and 90s e.g. a View to a Kill and Golden Eye
Also:
Look up Kung Fury on YouTube. A crowd-funded flick with the hallmarks of an 80s action / sci-fi movie. A sequel is coming out this year and Arnie's going to be in it
Edit: there were a few mentions of Mad Max 2. I would also recommend Waterworld, which is basically Mad Max 2 but on water.