Google has stated that it will soon start intelligently surfacing and recommending Drive files to you when you open a new tab in Chrome. That said, the feature can be disabled if you don't want it.
New tab RSS
Google is testing the addition of personalized shopping recommendations on the new tab page for Chrome. A hidden flag in Chrome Canary lets users enable the feature with fake data.
Microsoft has rolled out an update to Edge for Android, bumping the browser to version 18.104.22.1686. This update introduces a couple of changes, including additions to the newsfeed for New Tab.
Mozilla has announced that it will not be moving forward with plans to show advertisements in the new tab page of its Firefox browser after a ton of negative feedback from users.