As a kid I remember watching a lot of Bob the builder and Postman Pat - but I seem to remember that being more because it's what my younger brothers were watching rather than it being what I watched.
Chitty Chitty bang bang got rewatched so many times in my house that I reckon i probably could have started reciting the lines from it (haven't seen it in ages, should probably go rewatch it sometime).
There was a movie me and my (slightly) older brother used to rewatch a lot when we were young (before primary school, but I don't know how old exactly). It's one of the earliest memories I have (or at least one of the earliest that I have an approximate date for). No idea what movie it was though. Something about lions.
I was always more into reading books than TV when I was a kid though (probably because we had one crap TV between 6 kids lol).
When I was slightly older, but still a kid, i watched a lot of horrible histories and time team (had a slight obsession lol). Early teens I got a bit obsessed with sci fi and watched every episode of stargate in a ridiculously short time frame. Then rewatched them.
I'm sure there were others but I can't remember any of them. Distinct lack of the simpsons and similar shows because I wasn't allowed to watch them