PancakeSlaughter: set it up with NoIP (or a similar service) and it gives you very straightforward remote desktop on a Windows pc.
Reviewed in Awesome Android apps - daily updates
with this app you can do your work in your PC remotely via your Android device. This app enables you to connect to a remote PC and work resources, anywhere you are. This app features, access via Remote Desktop Gateway, Remote Desktop Protocol and Remote FX for multi touch support, high quality video and audio streaming and many more.
With the Microsoft Remote Desktop app, you can connect to a remote PC and your work resources from almost anywhere. Experience the power of Windows with RemoteFX in a Remote Desktop client designed to help you get your work done wherever you are.
+ Windows Professional and Windows Server editions are supported. To view the full list of supported Windows versions and successfully connect to a Windows PC, read the FAQ at http://technet.microsoft.com/en-us/library/dn473007.aspx
+ Configure your PC for remote access first. Download the RD assistant to your PC and let it do the work for you: http://aka.ms/rdassistant
+ Learn more about remote desktop apps here: http://aka.ms/rdapps
+ Access to remote resources through your Remote Desktop Gateway
+ Rich multi-touch experience with remote desktop protocol (RDP) and RemoteFX supporting Windows gestures
+ Secure connection to your data and applications with breakthrough Network Layer Authentication (NLA) technology
+ Simple management of all remote connections from the connection center
+ High quality video and sound streaming with improved compression and bandwidth usage
+ Support for Azure RemoteApp