An issue that is very important is ensuring that users are able to access the feautres of the site. Most users on their own machines have the latest browsers (or can install them).
However university clusters often have older versions of browsers. (For instance the UCL cluster room has Firefox 3.6 / 4 and IE8). In particular these lack:
new html5 tags
svg support
input slider / spinner controls
In addition users browsing on mobile devices may see other problems with the site.
I don’t want to spend a lot of time patching the website so that older browsers work, but on the other hand it is important that the technologies and plugins on the site where possible can be used with odler browsers, and clear messages are displayed to users (or gracefull fallbacks) are in place.
Useful tools for doing this:
Run old versions of IE on Mac
http://osxdaily.com/2011/09/04/internet-explorer-for-mac-ie7-ie8-ie-9-free/
http://tumblr.jonthornton.com/post/11405634980/how-to-run-microsofts-ie-vpc-images-in-virtualbox
Download old versions of browsers
http://www.oldapps.com
Browser compatibility info:
http://caniuse.com
http://www.findmebyip.com/litmus/