The Very Large Telescope (VLT) is an array of four, movable optical telescopes operated by the European Southern Observatory in Chile. According to its Wikipedia entry the array is capable of seeing the gap between the headlights of a car located on the Moon.
This video shows a digitally manipulated time-lapse of the stunningly clear skies above the VLT, with stars held in fixed position (approximately) and the Earth rotating underneath. The result vividly illustrates the Earth’s movement:
There’s a detailed explanation of how the video was created in the Youtube description. The original, non-rotating HD footage the video is based on can be found here.