We don't have a list for themes, they get added manually so I can't show you that but you can clearly see the 'game' checkbox in 'edit with form' under media. Doesn't need to be listed three times. If you want to redo the way themes and genres are done, perhaps bring it to Sxerks' attention.
I haven't renamed any articles. I'm making redirects for those who happen to search by the other name (I'm using the ones that MyAnimeList uses which don't always match the Romaji translation in the articles here).
I see, I'll wait before using it then. Where would you like it placed in articles? Perhaps in the infobox somehow or just in External links? Once it's all set and ready to go live, I'll add it to the articles.