So when I go back in time, remembering the good old Amiga days, this fine game here is one of the first, which comes to my mind:
NORTH & SOUTH
I didn't have my own 500 yet, so I used to play this classic at my friends house. As far as I can remember, it came out as a single disk release in 1989 and offered lots of action, inside jokes, two player mode and even a little strategy;)
Check out this longplay youtube video. Instant amiga atmosphere!!