Click on the trident on the right side of the page to hear W&L's official songs. I personally love Shenandoah, especially as it is on that link, which is sung by one of the 3 W&L A Capella groups on campus. They do a great job. They also sing this at graduation, which was and is a pretty special day, so the song takes on added significance, at least to me.
While I was doing this, I did a quick youtube search for the Washington and Lee Swing, which is a very, very famous fight song. I'm told it's one of the most popular High School fight songs in the country. Here are a couple of my favorite renditions:
This one starts slow, then gets into it
and another
Country style