Because I travel a lot, the compass is the first thing that comes to mind. I'm an old Boy Scout and I still depend on the compass alot despite the fact that GPS is around.
I find the Spend application really useful. I'm terrible with budgeting and this app helps me manage my finances more efficiently. It's easy to put my expenses and see how much money is left from my last paycheck.
I totally thought that the split up your bill feature was ridiculous when I first used it (I can add, I can figure it out on my own, I have a brain - all thoughts at first!) but I must admit I use it ALL THE TIME. I'd say probably 3 times a week. I do business lunches frequently and its super handy!