I think the absolutely cheesiest/ cliche thing I see tourists do is smoke ganja in public ie.. light up at a bar. That and the mall shopping trip runs second equal ranked with trying to speak half azzed patois.
I personally really enjoy jumping at Ricks, occasionally I get hassled by a new jumper until they find out how cheap I am but usually I am sitting over on their side and technically not at a table at Ricks bar and I am certainly not paying Rick's prices for drinks over there so maybe I am biased.