Next-Episode API

Not currently.  What do you want out of the API?
There are RSS feeds for a few things

There are actually a few interesting aspects here:

Automation

NE is currently built as a GUI service that users can interact with manually, and it does its job well as such.
It might, however, be interesting to be able to integrate it into other systems so that (for example) marking an episode as watched could happen automatically.

Database

Aside from having a decent frontend, NE is -first and foremost, even- also a large and fairly well-curated database. Much like NE is using third-party services like TVMaze, the (again, multi-sourced and curated) data could be used to build other services with.

This, of course, may open up possiblities like competitor services being built on it, possibly subverting the premium membership model. No idea what the official stance on sharing data is here.

Statistics

There are a number of features that show statistical information to users like "time spent watching".
That only leaves us with a limited amount of information we can actually get like this, though.
One example for something I kinda wanted to make at some point was a graph that displays the amount of shows from my watchlist currently active for any given time X over the last 20 years.

There is simply no reason to add such features to the actual site as most of them are way too random, but being able to make them anyways might be nice.

So yeah, having some kind of API actually would be a nice feature. What exactly that would look like, no idea, as that would depend on how much you'd actually be willing to expose.

Of course it would take quite a bit of work to realize and surely we won't see it anytime soon.
Still, long-term, could some of it be a good idea?

Do people actually still use RSS? I mean, there have to be at least some but I have not heard of anyone discovering it within the last 10 years...

Hi Micke.

An open API is not offered for now, though it can always happen if someone wants to develop a widely requested app (like for Apple TV, Roku, Plex etc).

Cheers

Well for e.g. Youtube, it's more reliant to use the RSS feeds then their api for notifications on new videos etc. Many social media platforms suffers from similar problems because they do many of those operations in batches.