There's a real "Surf Ninjas" game for the Sega Game Gear, but it's completely different from what Adam was playing. However, the game Adam plays in the movie is also real. It was developed by Sega exclusively for use in the movie only.
Rob Schneider is part Filipino. The same ethnicity as Ernie Reyes Jr. and Ernie Reyes Sr.
Leslie Nielsen brought a fart machine to set and would mess around and prank the crew with it. He did this on nearly every movie set he was on.
The portable video game system Adam plays throughout the movie is the Sega Game Gear, a handheld version of the Sega Master System. It was Sega's answer to the Nintendo Game Boy, which came out a year earlier.