iTunes Radio crashes a lot on my i5. Also I've had the settings app crash and lock up a few times. So far those are the only ones that I've had issues with.
No actually since I was coming from a 6.12 jb I deleted all my previous restores in iTunes, then went into dfu mode and installed as a new phone with a freshly downloaded iPhone5,2_7.0_11A465_Restore.ipsw file. I didn't have anything that I needed restored since I use Exchange for my main email and contacts and only have 3 pics on the phone for wallpaper and only 8 apps. Makes it pretty easy to set up from scratchIf they persist, I'd recommend a backup and a fresh restore of iOS 7. I'm assuming you upgraded/updated your device either OTA or via iTunes's update button?