Here’s another entry for the Internet Movie Liturgical Database (descendant of the IMFDB and the IMDB). The above is the “Basilica of the Immaculate Conception” in “Red Mass”, season 4, episode 4 of The West Wing.
That’s definitely not a Catholic Church. Not visible in this photo is that above the sanctuary there’s a balcony with seats facing down the nave.
Oh, and for the scene’s most prominent music they used Vivaldi’s Gloria. That piece of music lasts about half an hour and no one in their right mind would program it for Mass.