Amazon made a browser for Android plainly called 'Internet', claiming only a "2MB" download size. But right now you can install it only if you live in India and have an Android 5.0+ device.
The app was published in March, although it was first spotted by TechCrunch today.
Review until now pointed that the browser is quite bare-bones, as it seems to lack advanced features usually found in mobile browser. This could be intentional, as Amazon's new browser seems to focus on minimalism and lightness.
The 'private' part of the app description corresponds to a 'Private Browsing' mode that does not record browsing history. The app does not require additional permissions either, and it claims not to collect user data for analytics purposes.