I came across a whole bunch of jokes that I thought were either childishly funny or hilarious:

Where does a Gungan keep his cookies?
In a jar jar.

What's Qui-Gon Jinn's favorite cereal?
Jedi Mind Trix

Which battles were fought entirely with cream pies and seltzer bottles by Jedi Knights wearing big floppy shoes?
The Clown Wars

What weighs two tons and brings presents to all the good little Sand People?
Bantha Claus

Who's the biggest brat in the galaxy?
Dennis the Phantom Menace

What character would you find on a sandwich?
Obi-Wan Baloney

What do you get when you cross Yoda and Jabba the Hutt?
I don't know, but I bet he has a hard time getting a date.

Why did the young Jedi use his Visa card?
Because he didn't have his Master card yet.

What do you call a sick Wookie?
Flubacca

What did Yoda say to the Jedi Master who was standing in front of the TV?
You make a better door than a Windu.

What keeps food cold on the dark side?
A refrigervader.

What do you get when Harrison Ford plays the piano?
A Han Solo.
and finally...

What happens when Jar Jar gets a bug in his eye?
Jar-Jar Blinks.