When Chancellor Palpatine begins his speech during the Festival of Lights on Naboo, there is a shot of the crowd in which we see lookalikes who resemble Luke Skywalker, Ben Kenobi, and Princess Leia.
The scene where Anakin and Palpatine walk into the 'feast' only to be greeted by Count Dooku mirrors a similar scene in Empire Strikes Back where the main characters walk into a presumed feast only to be greeted by Darth Vader.
Part of the fireworks display on Naboo resembles a yellow receding text similar to the opening scroll that starts each Star Wars film with an episode number in its title.
The 'Jedi fortune cookie' message that opens the show reads "Trust is the greatest of gifts, but it must be earned."
The Bounty Hunters use holographic disguises in their mission. To make sure the viewer remembers who is who, the holograms occasionally glitch, showing the face of who's wearing them.