Passepartout sees a pretty girl. To get away from Phileas Fogg, he invents an excuse.
Passepartout:[to Fogg] Excuse me, sir; my cousin.
[He tries to flirt with her; she punches him]
Passepartout:[to Fogg] Excuse me, sir; not my cousin.
A few minutes after this, he sees another girl and tries to go after her, but Fogg grabs his arm and drags him into the train station without even looking round.
Fix insists on accompanying Fogg and co. everywhere, but tries to make it appear he's there by chance. To do this, he says he's going to see a sick cousin named Marmaduke. Then, in San Francisco, he forgets his "cousin's" gender.
Fogg: I thought your cousin was a man; I distinctly remember the name Marmaduke.
Fix: Angelica Marmaduke, sir. A lovely little old lady.
Also while in San Francisco, Colonel Proctor tries to flirt with Aouda.
Fogg: Unhand that lady, sir.
Proctor: Why don't you make me?
Fogg: I will without further invitation. [punches Proctor with his umbrella]
The Brick Joke of Passepartout forgetting to turn out the gas in his room.
[while on the balloon]
Passepartout: Mr. Fogg, I forgot to turn out the gas in my room.
Fogg: Very well, then; it will continue to burn... at your expense.
[after returning to London]
Fogg: Passepartout, turn out the gas in your room.
While in India, Fogg and Passepartout find that the railway line stops abruptly in the middle of a jungle. They need to find some way to cross the jungle quickly so they'll reach their ship... Cue Gilligan Cut to them riding an elephant.
Sir Francis: One thousand pounds for an elephant? It's outrageous! You've been diddled!
Fogg: Undoubtedly, but it's not often one needs an elephant in a hurry.
In India, Fogg insists on rescuing Aouda from suttee, despite it only being himself, Passepartout, Sir Francis, and their guide. Sir Francis devises an intricate, complicated, and totally foolproof plan. Except for one caveat:
Sir Francis: "There is only one problem. This plan can't possibly work with less than seventy-five men."
An example that overlaps with Crowning Moment of Awesome and Crowning Moment of Heartwarming: Passepartout rescuing Aouda by pretending to be her dead husband, putting on his clothes, and getting into his funeral pyre. The way the spectators scream and run when the "dead Rajah" sits up is hilarious.