One does not typically run games directly. That's fraught with the compatibility concerns you raise, and also the slowness of loading them from their disks, even when using an emulator, and needing a cumbersome UI to swap disks as needed.
Instead you run them with WHDLoad, originally designed to install all games onto the hard drives of real Amigas.
A lovely group of programmers have made WHDLoad installers for every game you know of, that patch the game in just the right places so it runs correctly, regardless of Amiga model or OS version.
WHDLoad also lets you press a "QuitKey" that returns you back to Workbench. And if you have an emulated Amiga with lots of RAM, you get to preload all the disks into RAM so there's basically zero loading time.
People have made large collections of "preinstalled" WHDLoad installers, bundling games in a ready-to-run way for any Amiga.
Instead you run them with WHDLoad, originally designed to install all games onto the hard drives of real Amigas.
A lovely group of programmers have made WHDLoad installers for every game you know of, that patch the game in just the right places so it runs correctly, regardless of Amiga model or OS version.
WHDLoad also lets you press a "QuitKey" that returns you back to Workbench. And if you have an emulated Amiga with lots of RAM, you get to preload all the disks into RAM so there's basically zero loading time.
People have made large collections of "preinstalled" WHDLoad installers, bundling games in a ready-to-run way for any Amiga.