Downloading applications for Android doesn't always have to be done from official channels such as Google Play. There are loads of alternatives, such as Malavida, definitely the best web to download apps, or the proposal made by 4399 GameBox.
A Chinese video game store
What makes 4399 different to other download sites is that it's specialized in mobile video games. Thus, forget about finding apps to chat, edit images or listen to online music because it's catalog is focused on video games from all genres: adventures, puzzles, action...
Its contents are sorted into categories by genre, downloads, trending, etc. You can explore them one by one, read the comments made by other users, view screenshots and videos, manage the download of APKs... All in all, exactly what you can do with any other app store.
However, you'll have to be fluent in Chinese because that's the language of this app for the time being whilst we wait for an English version of 4399. One of its most positive features, especially if you're a fan of manga and other aspects of Asian culture, is that offers us a wide range of oriental-looking RPGs with quite a few gems that will probably never reach the West.