Pretty much any scene that had Tennessee in it, such as;
Thorndyke asking him which part of Ireland his mother came from, before responding back with "Coney Ireland."
Tennessee's explanation about how machines are possibly developing minds of their own, before being blown off about it by Jim.
During the El Dorado race when Thorndyke zooms past Herbie while not realizing that a bear is sitting in the front seat with him in place of his navigator, Havershaw. Tennessee's response? "Who's the guy in the fur coat?"
When Thorndyke kicks Herbie's side, Tennessee's only utterance of disapproval of this act is a simple "AUWWW!"
"The little car takes first... and third place!"
Carole's What the Hell, Hero? rant to Jim about his apparent success in winning races, which was actually Herbie's doing, while loud crashing sounds are going on in the background, which turn out to be Herbie ramming himself repeatedly against the Lamborghini that Jim bought to replace him.
The random school bus shown during the Mexican road rally.
The hippies (played by Dean Jones and Buddy Hackett in fake beards) who casually refer to Jim and Carole as "a couple of weirdos".
"Small car very angry."
Herbie Goes Bananas
Paco has asked Herbie what his name is. Since Herbie can only "speak" in car horn noises, he can only make two beeps (one for each syllable). Paco asks "What?" and Herbie beeps twice again, but stretches it out ("Her....bie!"). Paco gives up and says he'll just call Herbie Ocho (the number "53" is on Herbie's hood, and 5+3=8). Herbie honks his assent in an accepting instead of frustrated or angry way; that just shows how cool he his. See this scene here.