One list refers to one massive list. Currently you have two lists:
The first either or refers to consolidating them together into one list.
As for removing tags, that refers to the second either or: if you have multiple categories, then having tags for apps becomes less useful and/or redundant, similar to the Forum category organization thread.
Regarding the Game/Apps split:
Back in the LINMOBapps days, I had to maintain it all by hand, and I then decided to split the games out, because I donāt care at all about (phone) gaming, and did not want to bother with keeping all these game listings up to date.
For a bit, the game list was maintained by some else, which led to it being ever so slightly different from the apps list (see content/apps/dev.geopjr.tuba.md Ā· main Ā· LinuxPhoneApps / linuxphoneapps.org Ā· GitLab (app) vs content/games/net.minetest.minetest.md Ā· main Ā· LinuxPhoneApps / linuxphoneapps.org Ā· GitLab (game)) which would make āre-mergingā and additional step. Since, again, I donāt care about gaming, especially phone gaming, this is not something I see as a priority (contributions are very welcome though!). Additionally, I think it makes sense to have these split up. You can search them in one go, and where taxonomies (e.g. Packaged In | LinuxPhoneApps) overlap, itās basically one list.
Regarding tags: I still donāt understand which kind of tags you are refering to, assuming you are refering to a feature of the current site as is - I think a screenshot or URL would help.
My definition of multiple categories refers to the PureOS Store:
Whereas, my definition of tags is your definition of services, categories, frameworks, mobile compatibility, and packaged in.
So, if you started to create categories other than āAppsā and āGamesā, in a similar manner to the PureOS Store, then these tags become less useful due to redundancy.
Okay, understood, thanks! 
I fail to see how applying such a categorization makes āmobile compatibilityā or āpackaged inā (or even āservicesā) redundant, but I see your general point regarding categories or freedesktop categories. Iāll add an issue to Issues Ā· LinuxPhoneApps / linuxphoneapps.org Ā· GitLab, as things like this need some thought, discussion and often also time and canāt be solved by acting swiftly without having thought things through.