* In app library, ability to filter apps by permissions required
...... Specifically, I would want to be able to blacklist permission sets. Eg, search for Keyboard apps, but exclude any apps that require access to my contacts.
* Ability to pay for apps directly through those apps rather than having to go through the smartphone's software author.
...... Totally fine with the software having a default payment option in case I don't want to entrust a certain app with my payment info.
* An interface that lets me see logs of which URLs each app hits and what data it sent.
* An interface that lets me see which servers are sending data to my apps and what data is included.
"App Library" here representing the same sort of app as the Play Store, but looking to disassociate from the term "Store", as that model is not necessary.
Edit: Formatting sub-lists on HN isn't intuitive, apparently