Just lots of small things. Keyboards that stick around. The backlight randomly sticking at full on or full off. Settings panels that crash (got better in the latest update) or don't refresh. Alarms that don't go off. Everything related to the App Store. Internet sharing drops randomly. iCloud has been a disaster since day one. iMessages that arrive twice.
Especially compared to Blackberry, iOS has never had a good alarm system. Kind of a shame, as that would be a fairly tractable feature for a single employee to own. Third party alarm apps have obvious problems, too.
Well up to iOS3.x at least it always worked as far as I can remember. I actually like its interface quite a bit, it's fast and clean - shame it's so useless.