Can anyone recommend me...
 

...a hit tracking script that I can install on my own website?

I currently use extremetracking.com, but their site goes down often, so I want something installed on my site, so I get the maximum stats possible :)

The script has to be able to track unique hits, total hits, last 20 hits (where they came from), search engines, etc.

And I want it to integrate into vB3 ;) Among other things.

I've been searching but can't find anything decent.

am waiting for the vb3 version of vb stats by bane

vB integration makes it hard, but your host should've pre-installed something along the lines.

If you have cPanel, it would be rather easy to find...