Implementing the Application Centric Approach

You build the XSLT transformation capacity into your application.

Java: Apache Xalan

There are several XSLT processors written in Java.
http://xml.apache.org/xalan

ASP: MSXML.dll

The September release of the Microsoft parser is supposed to bring it in compliance with the November 1999 W3C recommendation.
It also includes a server-safe component of the XMLHTTP object.
http://msdn.microsoft.com/xml/general/msxmlprev.asp

PHP

PHP 4.0 has both SAX (via XT) and DOM (via Gnome) parsers

XSLT functions are available through add-ins

Stephen Li's PHP Sablotron extension
Wrapper classes for Sablotron extension functions
The CVS tree at php.net has builds which integrate Sablotron.

A php xpath module has been announced, but is in alpha status

http://www.subpop.com/~dietricha