All major browsers have support for XML and XSLT.
Internet Explorer
As of version 6, Internet Explorer supports XML, Namespaces, CSS, XSLT, and XPath.
Note: Internet Explorer 5 also has XML support, but the XSL part is NOT compatible with the official W3C XSL Recommendation!
Firefox
As of version 1.0.2, Firefox has support for XML and XSLT (and CSS).
Mozilla
Mozilla includes Expat for XML parsing and has support to display XML + CSS. Mozilla also has some support for Namespaces.
Mozilla is available with an XSLT implementation.
Netscape
As of version 8, Netscape uses the Mozilla engine, and therefore it has the same XML / XSLT support as Mozilla.
Opera
As of version 9, Opera has support for XML and XSLT (and CSS). Version 8 supports only XML + CSS.