I ran across this "solution" while investigating ways to avoid installing GApps on low-RAM tablets. It is not a perfect solution but if you want to be able to search, browse, etc., and download/install PlayStore apps right on your device, this may serve that purpose.
The app is called the Yalp Store and is available on F-Droid: https://f-droid.org/packages/com.github.yeriomin.yalpstore/
It runs just fine on the NST/G. Options are accessed via the menu "button". As default configured, it uses a generic shared login to access the PlayStore. You could substitute your own credentials, but I would advise against this as using this app would probably make the big G very angry. Search works fine, apps that are not compatible are listed as such and you can set the app to instantly download/install, just like the real thing. The app keeps track of your on-board apps, and can even be set to check for updates (probably unwise, as updates are likely to break functionality for our old devices).
Does this mean I don't need GApps?
Maybe, but probably not. One of the other things I discovered while pursuing this issue is that an increasing number of PlayStore apps which have nothing to do with Google sync or logins, incorporate a Google Framework Services API. So you may be able to download and install them but they will either refuse to run or else whine constantly about needing said Services to be installed. While GApps on the NST/G is not good for much these days except maybe Google Books sync, its hidden system files--which include the Services--may be needed to run PlayStore apps (like even the NPR app--go figure).
There are a few Xposed modules I tried that appear to be able to circumvent this issue (though not for apps requiring Google sync), but you're not going to get Xposed on the NST/G!
Anyway, there are a lot of other places to get apps (like the F-Droid store itself) but even if you get a "PlayStore" app from one of these sources, it may refuse to run if you don't have the GApps package installed. The Yalp Store app indicates which apps rely on GFS.
Edit: oh, and quickest way to exit the app is Settings > More > Log Out
Edit-Edit: no need for GApps except for Google Books. See https://xdaforums.com/nook-touch/general/gapps-install-tested-confirmed-t3782459
The app is called the Yalp Store and is available on F-Droid: https://f-droid.org/packages/com.github.yeriomin.yalpstore/
It runs just fine on the NST/G. Options are accessed via the menu "button". As default configured, it uses a generic shared login to access the PlayStore. You could substitute your own credentials, but I would advise against this as using this app would probably make the big G very angry. Search works fine, apps that are not compatible are listed as such and you can set the app to instantly download/install, just like the real thing. The app keeps track of your on-board apps, and can even be set to check for updates (probably unwise, as updates are likely to break functionality for our old devices).
Does this mean I don't need GApps?
Maybe, but probably not. One of the other things I discovered while pursuing this issue is that an increasing number of PlayStore apps which have nothing to do with Google sync or logins, incorporate a Google Framework Services API. So you may be able to download and install them but they will either refuse to run or else whine constantly about needing said Services to be installed. While GApps on the NST/G is not good for much these days except maybe Google Books sync, its hidden system files--which include the Services--may be needed to run PlayStore apps (like even the NPR app--go figure).
There are a few Xposed modules I tried that appear to be able to circumvent this issue (though not for apps requiring Google sync), but you're not going to get Xposed on the NST/G!
Anyway, there are a lot of other places to get apps (like the F-Droid store itself) but even if you get a "PlayStore" app from one of these sources, it may refuse to run if you don't have the GApps package installed. The Yalp Store app indicates which apps rely on GFS.
Edit: oh, and quickest way to exit the app is Settings > More > Log Out
Edit-Edit: no need for GApps except for Google Books. See https://xdaforums.com/nook-touch/general/gapps-install-tested-confirmed-t3782459
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