Captain Zoom informs George while was traveling to work that Zora, the leader of the space pirates, is planning on looting the solar system of all of its resources. George has to go through nine stages of intergalactic action in order to stop the pirates using a special device known as a Pneumo Osmatic Precipitator (P.O.P.). This device allows George to hold on to things and breathe underwater as well. There are various boss fights with machinery. With a high enough score, the player goes into a bonus stage where items must be collected before time runs out. Players must also travel through tubes to get from one part of the level to another. Speed chases are even included in certain levels of the game.
The death animation involves George Jetson flailing his arms around and jumping into infinity. A few of the enemies in this game were not brought over into the Japanese version; like the bomb-dropping/vacuum robot.
Source: Wikipedia, "The Jetsons: Invasion of the Planet Pirates", available under the CC-BY-SA License.