While the “initial versions” and “current versions” may be radically different and / or incompatible, here is a short list that I compiled. Although some of these approaches are outdated, I believe that they all fall under the category of “web framework”, although this may vary by definition.
Also check out Ian Darwin's: Java Web Framework List - Provided it is Java specific, as the name suggests.
ColdFusion was first launched in 1995. I suspect this is one of the first "frameworks".
Open BlueDragon has existed since 1998. This is an implementation of CFML.
ASP (aka Classic ASP) , which debuted in 1998, should not be confused with ASP.NET.
JSP followed suit in 1999. Today, the Servlet model is very popular.
Struts has existed in some form since 1999.
Tapestry may be available around 2000.
Drupal , possibly more "CMS", was released in 2001.
HTML :: Mason was on CPAN by 2001.
ASP.NET was released in 2002 (along with .NET 1.0).
Seaside has been operating since 2004 .
Wicket has been around since 2004.
Ruby On Rails released a release in 2004. Django , possibly the "Python partner" of the time, was released in 2005. The PHP Partner, CakePHP , was also released in 2005.
Pylons refers to 2005, but is replaced by Pyramid .