Another data point: people have told me to download the Windows .zip distribution of Tomcat 6.0.24. I want to point out that this is not linked anywhere on the Tomcat download page. The *base* distribution is of course linked, and the .exe self-extracting-installer package, but I had to manually add "-windows-x86" to cause the Windows distribution (containing among other things tomcat.exe, service.bat, etc.) to get downloaded.
This was true no matter what mirror I selected. Best, Laird