I have iPhone 4 and 5, iPad 2 and iPad retina. With iOS 5 and 6, no problems, no reboots. Enter iOS 7 -> boom. Judging by multiple forum threads and own experience, most problems seem to circle around multitasking menu and streaming video apps; might be co-incidental, though, both are common activities. Definately not a hardware problem, unless all my toys have turned sour overnight.
My most common reboot scenario: Watch several episodes from a streaming video service with a dedicated app -> one of the episodes ends -> app gets killed -> device becomes unresponsive -> device reboots.
Any other experiences related to streaming video and rebooting?