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Chopsticks and Heart & Soul.
Though some believe it to be Colossal (Cave) Adventure or an early Sierra Game, no known game up to 1988 accepts the commands "melt ice wizard" or "throw thermal pod" (as used in the movie), therefore one can assume the game screen was simply created for the movie.
On DVD an Extended Cut of this Tom Hanks' classic has been released that contains nearly 30 minutes of new footage, making the movie over 130 minutes long. The Extended Edition shows a more distinct development of certain characters. There are for example scenes of the younger Josh (David Moscow), that give a better understanding about his wish to acquire adulthood faster. There are also scenes about the "adult" Josh, wishing to become a kid again and there's even more. A detailed comparison between both versions with pictures can be found here.
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