The Windows Phone smartphone operating system does a good job of handling Office 365 apps and the Office Hub. (Hub is an app that allows users access to documents in SkyDrive and SharePoint for minor edits.) Trying to use Office 365 on iOS devices is, unsurprisingly, not as easy. But it's not as hard as you might think. First, Exchange ActiveSync gives you full access to your email, calendar and contacts in standard iOS apps. The same is true of Android and BlackBerry devices. But iOS users also get a SharePoint Newsfeed App and will also get a SkyDrive Pro app this summer. Somewhat surprisingly, Windows 8 has lagged in Office 365 support and will get a SkyDrive Pro app at the same time as iOS.
Microsoft also seems to have put extra effort in for iOS users in the browser. Pictured is my Office 365 email on a Samsung Galaxy S 4 and an iPhone 5. Android users get the old Outlook Web Access interface, which isn't all that usable on a desktop PC. iOS users get the modern Outlook.com mobile interface. This follows even for Chrome on both operating systems: Chrome on iOS gets the new interface, Chrome on Android gets the old interface.
Microsoft does make Lync, OneNote and SkyDrive apps for Android and there are many third-party apps to fill the gaps in, for example, support for SharePoint. And Microsoft recently announced improvements in its Web apps on Android tablets to allow document editing through mobile Chrome browser support. But for now, browser support in Android is bottom rung.
Officially, SharePoint 2013 supports iOS 5.0 or later and Android 4.0 or later. Video play requires iOS 6.0 and Android 4.1, and iOS 5.0 support for Office Web Apps is "limited."