I really like Fast Food Nation. It's not quite as cartoony as the 'chick working in the store' games. It does keep the finger busy though. Plus there is customization of your character, however minute. The fact that you even can pick your own face and name helps add a bit of character, I think.
Try Emergency Dangerous too. I found it to be very different and engaging as compared to other Time Management games. See the thread here for more info: http://forums.toucharcade.com/showthread.php?t=14862
