I've been on a YIJC binge lately, so I felt like I should post here, if that's not against the rules?
I've mostly watched the Corey Carrier episodes, travels with father had some great lines. The bit with Indy and Henry Sr. in that ancient theater had some good parts, Henry Sr. pretending to be dead and Indy rushing to his side springs to mind.
"You know how you said we should let nature consume us? Well, nature is consuming our clothes!" Cue them running naked out of the water
"Father, I'm pretty sure goats do
not speak Ancient Greek!"
On a more dramatic note, the China episode. For some reason, Anna's line
"My son is going to die. I want to be with him." gives me chills. Dramatic irony, perhaps?