This seems like a great place to plug f-droid which is basically an Android "market" of all open-source apps that they compile themselves. Download reddit is fun from f-droid here:
In case you're not aware, on Android there's also F-Droid, an app store with only open-source apps, maintained by a non-profit organization. At least when I'm looking for open-source apps on Android, that's where I start looking...
Answering your question, f-droid is available for apps on android which has its own repository, that allows only apps that are free and open-source and builds directly from source.
They also allow using other repository(repos) such as izzy's repo.
There's f-droid [1], "app store" or rather an actual FOSS repository with Android apps. It doesn't have all the apps play store has, of course, but lot of interesting apps can be found there. (I'm currently addicted to Frozen Bubble)
https://f-droid.org/: Open source, the apps they list include the following: "This version is built and signed by F-Droid, and guaranteed to correspond to the source tarball below."
http://f-droid.org/repository/browse/?fdid=com.andrewshu.and...
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