I finally found a calorie counting iOS app that I like. It's called CalorieCalc.
It's crazy dead simple, which is what I prefer. Don't give me a giant food database to pull from, don't try to track my exercise, and don't ask me to care about micro-nutrients. Just let me tell you my calorie limit for the day and then allow me to burn down from that limit by manually entering calories for each meal/snack.
I suspect that I'm in the vast minority in wanting such a limited calorie counting app.