Whenever you feel like React Native might not be production ready, then look at Facebook showing us how they use it out in the wild.
At Facebook they make very clear that they're eating their own dogfood.

How Facebook Focuses on the Most Important Element of an App

Apart from Facebook Groups and Facebook Ads Manager (both for iOS and Android), Facebook uses React Native for some other interesting internal projects too.

How we use it: Building Out the Window with React Native and Parse

When employees visit Out the Window, they place their order using an iPad app that was built with React Native. The menu items, transaction handling, and other features are built on a Parse backend. The coolest part? Employees can order their food online and pick it up within 15 minutes.