In the end fight, Pluto Nash's twin falls and crashes onto the Blackjack table, the female on the right side has no reaction but step back, smiles, and doesn't even spill her champagne while everybody else is shocked and jumping back.
When Pluto, Dina and Bruno leave town in the stolen car, they pass under a road sign announcing the "Neil Armstrong Monument". The photo on the sign however is one of Edwin Aldrin, taken by by Neil Armstrong during the Apollo 11 mission.
While Pluto is in his hidden moon warehouse/lair and checking his computer to find the crook, he is given a sandwich. From behind we see he takes a big bite from the middle of the sandwich. When we cut to face Pluto, the bite has moved to the edge and the middle is bite-free.