Poll: What do you use for site analytics?

I've been looking at analytics packages a lot lately. I've been trying to find a good system for the websites that I manage and it's a hard thing to find exactly what I need. It's tempting to stick with just the free packages because many of them offer most of what I need. But things are still lacking.

Right now, depending upon the site involved I use:

No site analytics at all.
Some of the sites I run are so small or for such a niche market that site analytics are a lot less important than other metrics. For instance, I care a lot less about how many people visit a photoblog that I run than I do about how much space is being used by the blog.

JavaScript or "bug" analytics.
These are packages like Sitemeter and Google analytics that work by putting a script or "bug" on each page to be tracked. These work great and give you lots of good information, but they only track the pages you mark. And some sites consider giving that data to Google or another company to be a security risk.

Basic Web log analytics.
These are tools like Analog that sit on your Web server and parse the Web log on a periodic basis. But most of the free ones I've tried either don't give me the information I want or don't have the reports I want.

Because of the various limitations of the tools I currently use, I am still looking for the perfect Web analytics solution for my needs. If I find it, I'll let you know. But for now, I'm curious what you use. This poll is fairly limited as there are hundreds of other options for Web log analysis out there. So if the solution you use isn't listed, let us know what it is in the comments.