It depends on the year and the lighting package. If the car has the interior lighting package, there are plastic domes at the base of the cup holders (to light them up) that shrink things.
I have a 3 3/8" mug that doesn't fit. A 2 5/8" mug does. I would think anything over 2 3/4" starts to get problematic with the lighting package?
I'm not sure if CatsAreGods has the lights, but cats are awesome.