Just this morning I may have found a good solution.

I installed Jump Desktop screen sharing app on my mac and on my Galaxy s3 and it works very well. There is no offline access and you have to leave your mac running (possibly) for it to work, but otherwise I am very impressed with it.

Tried another called PocketCloud, but I found Jump Desktop a bit easier to use on my phone - in particular bringing up a hidden dock with the mouse.