David Letterman isn't known for his movie parodies, so this recent gag is a bit of an oddity.
Dave starts the normal Top Ten List countdown and something gums up the works - perhaps a particle of pre-animate matter caught in a matrix.
He sends a stagehand downstairs to investigate. Now either Letterman is a closet Trekkie, or someone on the writer's staff got a favor called in. And check out the use of James Horner's music in the piece!
(I found this courtesy of a post at the John Byrne Forum.)