After Toy Story 3, but before Disney Infinity, Avalanche Software was working on a Toy Story game set in space, with all the beloved characters working at Buzz Lightyear's Star Command.
Concept artist Sam Nielson has shared a bunch of his sketches and other concept art with the world on his blog. There are snazzy spaceships, stations, and a decidedly Star Trek-esque bridge (Neil says this was intentional).
Regarding the spaceships, Neilson says "We were trying to come up with a design that felt like a more massive, starship version of Buzz's spaceship box from the movies."
I'm a little sad this never came to pass. A Toy Story game with a sort of Star Trek setting could've been perfect for the series.