Personally I'd find very useful an advanced search or filter function. Here's a trivial example of what I mean:
Let's say I own a plumbing comapany in New York, that means I am interested only in the visitors from New York. I'd like to be able to go to the "Advanced search" or "Advanced filters" (or whatever you want to call it) tab, and then select to filter only visits from New York city. Then, I should be able to "combine" this filter with further filters. For example I would like to be able to see which pages were the most popular ONLY for the visits from within New York city, or what browsers the poeple were using from New York, etc. (or for an example of 3 filters, what pages were the most popular for the visitors from New York which were using Firefox)

Right now, one is only able to see "overall" statistics, for example the overall browser statistics, or the overall page visits, etc, but these are not useful for everyone. IMHO an advanced search/filter page would make much sense.