The Big Country (1958)
Title sequences form part of this documentary.
music used in opening credits
This episode's "Happy Happy Joy Joy" song (sung by a caricature of Burl Ives) quotes or paraphrases several of Burl Ives' lines from "The Big Country" ("Teach your grandmother to suck eggs," "I told you I'd shoot, but you didn't believe me!", etc.)
correct response in "Up on the 'Big' Screen" category
'Gergory Peck (I)' and 'Carol Baker' on a buckboard
The soundtrack is played over the closing credits.
Clip from trailer used
Playing on a TV set in the house that Reacher searches.