It's important to understand that the Mac 512K Enhanced was the third Mac ever introduced, and as such, it is the third least powerful Mac ever made, very close to the absolute bottom of the Mac barrel in terms of performance. The system specs are so incredibly weak that the only games you can really run on it, even Mac games, are those that were written for the extremely limited amount of RAM and storage space of the 512KE.
The bottom line is, if you want to play a game on the Mac 512KE, it needs to say Mac 512 on the label. If it doesn't, it probably requires more CPU or storage. You might want to look at the list of Mac games and look for games made up to 1987 or so, then hunt those down. Those should run on a 512KE. I used to play some, like Dark Castle and Deja Vu.