Also having very significant battery drain issues following the Samsung Galaxy S3 Android 4.3 update. Loss is approximately 1% per 2-3 minutes, idle. Attempted clearing the cache partition, with no effect. Have run in Safe Mode, also with no effect. Tried removing all apps (barring the substantial amount of Verizon bloatware), again no effect. Switched out batteries, with no effect. This issue basically turns the phone into a landline, which of course calls into question why one is paying for the service at all. Can probably give it another week, but that's it.