Neither of the above solutions worked for my Fire TV. In particular, in Settings under Equipment Control there is only Add Equipment- no Power options. The auto turn on after turn off problem has recurred even though I have the latest Fire OS update and restarted the Fire TV numerous times. I even unplugged it for 3 hours, then plugged in again, turned it off via the remote, but it turned itself ON after about 5 minutes. Arghhh!