Made the switch to PIWIK from GA "honestly i use both" a few week ago and it's great.
Real Time Visitor Data, Tracks more data then GA, and best of all It's Free "Open Source" and all the data stay with you.
And it's Self Hosted! Meaning you run it on your servers!
I know this might sound like an ad, but I am in no way affiliated with PIWIK.
It visitor log shows you "in realtime" each step a visitor takes on your site, what file they download, and even shows Outlink to leave your site"
I'm shocked i never heard of it before, until i started looking for Analytic Alternates.
It also have API for other cool stuff.
Def worth some research, check it out, check out the demo.