Ok, here's what a Chuck E. Cheese exhibit at a museum could look like. I'd picture it as:
The exterior to the exhibit would have the Avenger CEC Logo and the old Rockstar logo and some tvs, showcasing the animatronics, commercials and showtape clips, and a tunnel. This dark exhibit starts with a dark"labyrinth showcasing Atari, and holding a replica of the first Chuck E. Cheese animatronic. Then, there would be a hallway, called "The walk to Fantasy Forest", leading to a classic arcade section with old games, trees hanging above, and a cheese-crawl. Then there would be a room with Rocker Stage with the characters in their 1980s masks. Then there is a hallway housing The King, which leads to a room about the Rock-Afire Explosion, styled like a Showbiz Pizza Place, and includes some of their posters. Then there's a light up tunnel leading to a studio like room with the Chuck E. Cheese 3-Stage (The one with the plastic masks). The area and stage would look exactly just like the Showbiz Pizza Time Corporate Office. The labyrinth continues, showcasing the mini-unit 1-Stage, showtape footage, games, and 90s posters. Then there would be a small room with a replica of the Awesome Adventure Machine. Then there's a hallway with rotating gears and Cool Chuck posters containing the Studio C Alpha-Beta Mix, then leading to a neon hallway with Avenger commercials and sponsors. Then there's a room with the Star Stage, with many colored walls, games, and Avenger posters. The Ticket Blaster would also be displayed. There would be another tunnel leading to a Rockstar Chuck segment with a prototype dance floor and light-up posters, leading back to the entrance.
This exhibit could fit more in a large museum, as these ideas would be too big for somewhere a bit smaller.