The Hubble Ultra Deep Field (HUDF) is the “deepest” optical observation of the Universe: eleven days of Hubble Space Telescope observations concentrated on a tiny patch of sky.
I recently came across this three-dimensional mockup of the HUDF, using our measurements of the redshifts (related to the distances) of each of the galaxies in the field. I assume that these are what we call “photometric redshifts”, using broad measurements of the color of a galaxy to estimate its distance, rather than the much more difficult spectroscopic redshifts that give much more accurate results. Also, the galaxies are, I think, not to scale: there is somewhat more empty space in the Universe — I’m possibly wrong about this, as per Ted Bunn’s comment below. (Unfortunately, I couldn’t find much information on how or by whom the video was put together, although it refers to the site DeepAstronomy.com and to NASA/ESA animations.)