My DS is 2.5 and obsessed with Dr Who. My DP got him into watching it (it's the only way to keep him sat on his potty) and now he has to watch it before bed, plays with character models and loves his Dr Who magazines.
We do supervise his viewing and skip episodes or scenes that are too scary and he is only allowed to watch one episode per day and that is at a set time.
However, I'm not 100% comfortable with this. Although DS isn't scared by it, and he has lots of fun pretending to be a dalek or a cyberman, and he also loves Noddy, Thomas the tank engine, Night Garden and all the other usual people.
Do other children this age watch the same things ?