I was allowed to watch pretty much everything, though certain things were vetted by my parents first. By the age of 7 I was watching violent action movies regularly (violent as in predator, total recall, and other films like that, though not all the films featured Arnie).
The big thing I was restricted on was never the content, it was the advertising! I was not allowed to watch any television channel that had adverts, and when I was born that meant I had 2 channels to pick from a total of 4 possibles. (and no, i'm not old, i'm from the UK and this country took a while to catch up on things like car technology and television amongst many other things).
Due to the lack of channels to watch and being from a film obsessed family with a collection of a few thousand films on hand (and a few great rental stores locally, most now defunct) I grew up watching films galore. I could fill up several threads with my knowledge and passion of films so I won't start anything here in fear of hijacking the thread and upsetting the OP.
We only had one tv in the house until i was 17 and working and I was allowed a tv in my bedroom as I paid to buy it. Now I still don't watch much tv, I mainly watch films when I get chance to watch anything.
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The more I learn, the more I realise, the less I know!