Hi TheDaddy,
My favorite setup to run Amiga games would be an Amiga CD32 console with the SX32 pro expansion and an external floppy disk drive. Expensive, I know, but so cool!
You could run games directly from HD through WHD-Load or boot CD32 titles directly from CD. There are also many CD-compilations with tons of commercial Amiga games ready to go with a single click from a nice menu! Can't go wrong with that.

I have an Amiga 1200 myself, but when I read what I've written above I suddenly got the urge to get a CD32.

Used to have one in the past.
There are many other solutions as well, but personally I'd love to have the setup above for gaming.