So I found this game on Facebook, Monstermind.
You basically make a town/city, kinda like a simplified version of simcity, and your friends do the same. Now where it becomes interesting is you can go to your friend's city and attack it with Giant Monsters. It's easy to repair the damage done, but attacking cities, and/or fighting off monster attacks is the best way in the game to earn experience and make money, so it's heavily encouraged by the gameplay.
I definitely think it's worth checking out if you like attacking cities with Giant Monsters.
Oh, and if you're shy of Facebook, you can do what I did and just make a Facebook account with none of your real private details, just a gaming account. That's what I did.
Anyway, if you're interested, you can add me as a friend and we can destroy each other's towns. =)
My gaming account's name is 'Wispur Kultus' Pretty easy to find, my profile picture is a Minions symbol.