Factiva includes the full text of Wall Street Journal from June 1979 to the present. It includes most web-only content from WSJ.com, but excludes blogs and some other content. An easy way to search all of this content is to enter the source code rst=sfwsj in the search box and combine it with your search terms.
Article titles frequently vary between wsj.com and the newspaper, so you may need to do broader keyword searches when trying to find an article cited on the web site. Here's an example:
Home runs are no longer paying the bills (Link is behind WSJ paywall)
Homers No Longer Pay the Bills