Most Amiga games are not harddisk installable.
But some smart peolpe have developed a program to overcome this niggle. It's called WHDload and can be found at
www.whdload.deIt's shareware and if you use it much I suggest you register the program; it's only 20 euro's which I think is great value for money!
Then you can install games from floppy (only originals NO cracks). But there are games that have been given to the Amiga community as freeware. You can find those on
www.back2roots.orgSome of the game downloads there are WHDload installs. So that's really easy!
Good luck.