I've tried more that a few remote access apps on both Android and Windows, and TeamViewer is right up there with the best of them (especially if you work with people who can't get a handle on VLC). Today's Android app update adds some much-needed features to the mobile access app, most notably the ability to silence sound from the remote machine without turning the sound off on your Android device. Huzzah!
The other major addition is clipboard synchronization. If you've ever used the Chrome To Phone app, you know how this works: selecting, highlighting, and copying text from your computer will allow you to paste it into any text field on your Android device, and vice versa. This is incredibly useful for remote access, especially if you're providing support and have to put in fiddly text like file addresses. TeamViewer users can now choose to lock the desktop (or not) at the end of every session, and the app will try to restore lost sessions more reliably simply by re-opening.
Last and probably least, the changelog includes the usual "minor fixes and improvements." TeamViewer is free for private use on Android devices running 2.1 or higher, and works with clients on Windows, OS X, and Linux.