If anybody actually read the lyrics to Eric's song it should be obvious what he's talking about. He's not running down all the songs he lists--though some might be seen as cliches.   He is talking about a wretched performer who can't or won't do justice any of the songs he sings--but still feels compelled to run through (no pun intended, of course) every song he can think of that might be popular at an Irish pub.

There's another excellent song, something to the effect of "You're not Irish, you can't be Irish--you don't know "Danny Boy"--which mentions a sizable list of songs thought to be traditional Irish by some pubgoers--but are definitely not.