A couple weeks ago I read Google Analytics: Stop feeding the beast
and it was the straw that broke the steady drumbeat camel of not using Google Analytics on this site's back.
I looked around at alternatives and settled on Open Web Analytics
. It runs locally without a complex install and you can add custom events. The interface isn't as slick as Google Analytics but since I can query the data directly I should be able to write my own report pages.
The main thing is that it's one (admittedly tiny) meal that Google doesn't get to eat. And this site is one less place that Google knows you visited. Sneaky! (If you weren't blocking GA already, which you should.)