On Android, the 8.0.5 update includes a number of bug fixes, plus optimization for remote experiences on high-resolution displays. The app requires Android 2.2 or higher. On Mac OS X, the 8.0.5 update fixes an issue where "Access Denied" was returned during Windows logon even though credentials were correct. It fixes a number of other unspecified bugs, as well. It requires OS X 10.6.0 or later. On iOS, the 8.0.5 update adds audio quality improvements, as well as unspecified bug fixes. It requires iOS 6.0 or later.
Microsoft is expected to make available a number of enterprise-focused features for Windows Phone as part of its Windows Phone 8.1 release. But no one from Microsoft has said publicly whether a remote desktop capability will be among those features or delivered some time after Windows Phone 8.1 is available commercially.