Using Wikipedia API on custom wikis like Bulbapedia

Does anyone have experience in using the Wiki API Sandbox with making REST calls on custom wikis? By custom wiki I mean something like http://bulbapedia.bulbagarden.net/wiki/.

I particularly want to get access to some of the Pokemon content found on Bulbapedia, but not sure where to start or if it's even possible to use REST on custom wikis.

My current solution is to just use a standard wikipedia page with calls like:

To Get All Pokemon:
- https://en.wikipedia.org/w/api.php?action=parse&format=json&page=List_of_Pok%C3%A9mon
To Get Bulbasaur:
- https://en.wikipedia.org/w/api.php?action=parse&format=json&page=Bulbasaur

I get some JSON that I can work with, but would love to be able to explore the content of a Bulbapedia page AND have access to all of Ken Sugimori's artwork.

Solution

Yes, MediaWiki comes with API bundled. Furthermore, since 1.27 it includes a rewritten ApiSandbox that I originally wrote as an extension. So as Bulbapedia is running 1.27.1, it has the sandbox too.