There is a new feature at the psrtutorial that will answer that question directly. It is an index to all the songs in all the US fakebooks. That's over 10,000 unique titles. Here is a direct link: http://psrtutorial.com/FakeBooks/FBSongs/fbsongs.html
Songs are alphabetized and there is a separate page for each letter. For those who want the complete list, there is also an MS Word document that can be downloaded. It will give you a 61-page 3-column print out.

P.S. Since the site has become so large now, I've added a search capability this past weekend. Although I see I'll have to provide better "page titles" now that the search index is operational.

The amount of non-PSR specific material is growing. I recently added a section on the Secrets of Chord Progressions. Although pros won't need this, others may find this series of weekly lessons useful in learning all of the chords.

Of course, in spite of all these lessons, downloading remains the most popular activity as I now have 400 styles, complete with OTS, tuned to the PSR-2000 plus an additional 500 styles without OTS. The midi files from the PSR Performers are also popular with nearly 700 songs now available at the site.