Super lightweight library with few to none peer dependencies to get the app name thorugh native calls.
$ npm install react-native-get-app-name --save
If you are under RN .60 run below command - otherwise skip this.
$ react-native link react-native-get-app-name
import GetAppName from 'react-native-get-app-name';
GetAppName.getAppName((appName) => {
console.log("Here is your app name:", appName)
})