How do we access these other modes? I've never noticed it on either the Windows app, nor my Android device -- despite spending several minutes looking for it right now, after reading your comment that they exist.
When I go to Hamburger -> Anime, or Hamburger -> TV shows, it has the same style of semi-logical groupings of categories as I see normally: Crime shows, action shows, classic shows, suggestions for me, etc -- but there seems to be no affordances to affect ordering, nor menu items that would reflect that. The settings menu is useless, as it consists only of links to the account details, privacy statement, and terms of use.
I really hope that the answer isn't "Log into our website instead of using our native app!", though perhaps the feature warrants such an experiment.
In the Android mobile app, which has recently seen some excellent improvements, I'm unable to find an alphabetical listing as well. One can select genres, and TV shows vs movies, but there are no affordances for sorting, only a wall of categories to scroll through.