I think that you are having problems because you have both the Avenger BEM LEM, MMU and NO_MMU libraries installed.
IIRC you should only have one set installed, try renaming one set to inactivate them. Sadly I am not at my Amiga right now so cant say which one to rename.
Try your games.If they worked then you picked right first time
If not rename them back to the original name and rename the other set and try the games again.
EDIT
I suspect that as you have the Mediator set to MMU=NO , you need to rename the MMU BEM and LEM Avenger libraries.