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There’s slimstat but it’svery similar to mint. The code is based from shortstat which was an earlier version of mint which was developed by Shaun Inman.
Okay, nobody laugh!!! Seriously.....
As stated in a similar post -- I use Google Analytics, but I ALSO use Bravenet's free "site tracking" service. I love the interface! And unlike Google Analytics, it updates instantly. One of the best features is the "Referrers" -- it will tell you the exact URL that someone followed to get to your site, even exact search terms used.

I use CSS to hide the visual button required and have customized the JS so the HTML validates.
The visual colorful graphs and charts as well as easy to use export to excel functionality might be perfect for your situation with your particular client.
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