I'd recommend AWStats... free and it has very nice output. One of the drawbacks is that it uses Perl, and thus is slower than some others, but I run through www.unl.edu
log files with 9 passes nightly and it seems to handle it alright... (of course this is dependent on the processing power of the machine that crunches the numbers).
I've used webalizer in the past, but it seems to have fallen behind in development (2002 was the last update?).
Analog is OK if you need the faster processing that a compiled analyzer will give, but I don't really like the way the output looks.
There was a pay-for standalone app I used at Telecom a few years ago that had nice output, but I've forgotten the name - Patrick Sullivan may know what it is.
I'd contact your server admin and have them get a stats package installed for you on your webserver. If they aren't willing to do that then you should at least be given access to the log files... then I'd set up a scheduled job that downloads the files to another machine and runs the statistics.
But, if you or whomever needs help setting up AWStats I'd be glad to help.