Extreme Violence
A rad shareware 2D arena shooter with silly ammo (bouncing bullets, shoot through walls) and the minimap allows you to line up off-screen kills.
Yeah, I got this on a cover disk at some point. The "Bleurgh" sound you made when you died still sticks in memory lol.
Here's a few random mentions, there's obviously too many great games to choose from:
B.A.T. and B.A.T. 2 - Adventure/RPG games in cyberpunk setting, styled like a comic book
Gravity Force 2 - Levels look like lemmings, with space ships where you use thrusters to fly around level in 2 player pvp.
Jet Strike - Side scrolling flying game with lots of different mission types and planes etc
All Terrain Racing - Great isometric racer with nice graphics
Fighting Spirit - One of the later beat em ups on the Amiga, reasonable quality.
Alien Breed 3D 2 - One of the better attempts to put an FPS on Amiga
Grind - An FPS currently being made for the A500. Very impressive, so deserves a shout out. Look on Itch.io for other games currently being developed for Amiga.
Mean Streets - The first Tex Murphy adventure. Detective games in future with combat, flying and digitised speech.
Hunter - Open world 3D military game where you explore enemy territory in different vehicles and on foot.
Frontier Elite II - Should need no introduction. Personal favourite.
Youtube link
Apocalypse - Desert Strike sideways
Youtube link