After becoming an instant hit at the arcade, Frogger was ported to home consoles like Intellivision and Atari 2600 by Parker Brothers. The investment was huge, spending $10 million in marketing alone ($4 million more than movies of the era.) It paid off to the tune of 3 million cartridges sold, becoming Parker Brothers' most successful first year product ahead of the handheld game Merlin. Coleco also got in on its popularity, releasing Frogger and three other popular games as mini-arcade tabletop games. 3 million units would be sold collectively over the course of their production run. Many unofficial Frogger-like games would be released as well, but it wasn't until 1997 that Frogger would get an official sequel on home consoles.
Hasbro Interactive helped give Frogger a fresh look across game consoles and home computers in 1997. It picked up right where the game left off in 1981, selling more than 1 million units in its first 4 months. The new Frogger was actually the final game released for the Super Nintendo System (SNES) in 1988. More sequels would follow though the years including Frogger: The Great Quest in 2001 for Playstation 2, Frogger: Helmet Chaos in 2005 for Nintendo DS & PSP, and Frogger Returns in 2009 for Wii & PS3. In all, Frogger has produced 25 different sequels over the last 28 years. A special 25th anniversary edition was also released for Xbox in 2006.
Thanks as always to Arcade-museum.com and Wikipedia.