So there was actually an interesting feature article on this site about facebook games - see if you can't find it by searching. (If not quote my post and I can try to find it later.) But the one game I remember it discussed was Happy Aquarium. Nice little article and it inspired me to check out the game, which I eventually "played" for quite some time.
I say "played" because it was very much one of those games where you feed your fish and clean the tank then come back the next day. Most of the games I've found on facebook are just like that, or with the energy limits/invite your friends problems you mention. An additional issue - I hate that these games advertise all over your profile page when you play them. If I like the game enough I'll use social networking to tell my friends myself, thank you very much.
I say "played" because it was very much one of those games where you feed your fish and clean the tank then come back the next day. Most of the games I've found on facebook are just like that, or with the energy limits/invite your friends problems you mention. An additional issue - I hate that these games advertise all over your profile page when you play them. If I like the game enough I'll use social networking to tell my friends myself, thank you very much.