AppStoreHQ is described as 'new way to discover the best and most noteworthy iPhone and Android applications'. There are more than 25 alternatives to AppStoreHQ, not only websites but also apps for a variety of platforms, including Android, Android Tablet, iPhone and iPad. The best alternative is F-Droid, which is both free and Open Source. Other great sites and apps similar to AppStoreHQ are Google Play Store (Free), APKPure (Free), Apple App Store (Free) and Fossdroid (Free, Open Source).
The project's aim is to promote free and open source software on the Android platform. Fossdroid takes its data from F-Droid, but organizes apps in an attractive, Google Play-like arrangement with the ability to view apps by popularity.
In an effort to make things easy, and maybe even fun, AndroidPolice.com created APK Mirror. Over the past several months, they've been working to build a smooth, reliable, trust-worthy site to host the downloads users love. You also can upload APKs to the site yourself.