The goal of the game, called "Walkin' Charlie," is to hit a plate out of the hand of famous characters, including a likeness of the Commander in Chief.
The game also features caricatures of Osama Bin Laden, Saddam Hussein and Michael Jackson.
Tommy Whalen, the game's creator, said it was designed to be a fun game, but says he has heard about the controversy it is creating.
Whalen said other political figures will soon become targets of the game as well.
While Whalen says the game is meant to be fun, some tourists see it otherwise.
Visitor Cathy Williams said the game was disrespectful to Obama.
An eastern Pennsylvania company last week pulled a carnival game in which players shot foam darts at an image resembling Obama.
Irvin Good Jr. received a complaint from a Massachusetts woman attending a fair in Roseto, about 65 miles north of Philadelphia.
Good said his company, Hellertown-based Goodtime Amusements, won't offer the game again.
"It was just a big, big mistake in judgment, and I feel sorry about it," Good said.
The game, dubbed "Alien Attack," featured a large, painted image of a black man wearing a belt buckle with the presidential seal and holding a scroll labeled "Health Bill." Players could win prizes including stuffed animals by hitting targets on the image's head and heart.