Android API 21+ uses the material design ripple to provide user with feedback when they touch an interactable area on the screen. React Native exposes this through the TouchableNativeFeedback component. Using this touchable effect instead of opacity or highlight will often make your app feel much more fitting on the platform. That said, you need to be careful when using it because it doesn't work on iOS or on Android API < 21, so you will need to fallback to using one of the other Touchable components on iOS. You can use a library like react-native-platform-touchable to handle the platform differences for you.
Unless supporting both, it is considered good practice to lock the screen orientation to either portrait or landscape. On iOS, in the General tab and Deployment Info section of Xcode enable the Device Orientation you want to support (ensure you have selected iPhone from the Devices menu when making the changes). For Android, open the AndroidManifest.xml file and within the activity element add 'android:screenOrientation=”portrait”' to lock to portrait or 'android:screenOrientation=”landscape”' to lock to landscape.
Material Design and Human Interface Guidelines are great resources for learning more about designing for mobile platforms.