I can find examples of shot noise in monochrome images, but I can't find any examples in color images. What does shot noise in color images look like?
Exactly the same. Both CCD and CMOS sensors - with the exception of Foveon sensors - are achromatic. Color is created by an array of color filters in front of the sensor, so the shot-noise is the same, only you tint each pixel Red, Green or Blue. A few rare cameras also use Emerald tint and some leave one sub-pixel achromatic.