It's all over the web and there are free databases like TMDB around that provide good API access
Where does TMDB show me which streaming services Mr.Robot, say, is currently available on? It gives the producing network, catalogue details, all that, but I can't find the details of its availability on Netflix/NowTV/Sky/AmazonPrimeInstant/etc.?
It doesn't. You'd have to scrape a site that had that data or check to see if they have an API. I believe there are sites that do this but as it wasn't core functionality of the MVP anyway we didn't focus on it too much.