SAO was the closest 'genred' anime to the .hack// series that I have had the privilege to watch.
I'm unsure of weather or not you have seen the 2nd season but if not, I recommend doing so.
Other Anime's that in my opinion meet the same 'action based' criteria would be,
The Money and Soul of Possibility Control - http://goo.gl/lshJl
Darker Than Black - http://goo.gl/WbAPF