It exists and I played it at the Midwest Gaming Classic over the weekend: The Tutorvision!
The system was running a game called Map Mazes. In the game one has to perform certain tasks -- such as visiting different locations or finding animals that had escaped from the zoo. There were three different variations of the game on the cart, with different levels of complexity. Since the game (and system) were intended for kids, none of the variations are all that difficult.
In regards to the system itself, it most resembles the original 2609 console molded in a light gray plastic. The console has gold nameplates and blue accents on the controller. As for the controller itself, it features a bubble keypad vs. flat ones used in the Intv II and System III. The plastic of the controllers is also slightly smoother than the original (using a glossy plastic vs. the textured plastic of the original). The button placement, disc and controls themselves are pretty much the same as the Intellivision I.