Android and iOS differ in their project structures, components, and approaches to common tasks. Android uses .APK files and has a project structure based on activities and fragments for screen navigation, similar to views and view controllers in iOS. It uses shared preferences like NSUserDefaults and Notifications like iOS to transfer data between screens. iOS uses .IPA files and has a strict view controller hierarchy for navigation between screens connected by segues. It stores data in files like Core Data or SQLite similar to how Android uses files and SQLite for data transfer and storage. Both platforms support debugging and handling different device screens and densities.