Do other planets in our solar system experience eclipses or is this unique to Earth? Here on Earth we get to experience lunar and solar eclipses. Is this pure coincidence that everything happens to line up?

Do other planets in the solar system experience this phenomenon or is this something unique on Earth?
Eclipses are common, but solar eclipses like the ones our moon causes would be unusual since it takes a combination of factors, the angular size of the moon and sun are nearly the same from the viewpoint of Earth so that the moon (depending on where it is in its slightly ellipitcal path around the Earth) can cover the sun nearly exactly.  

NASA has a nice picture of an eclipse as seen from the Mars Curiosity rover showing an eclipse by a moon with an angular size less than that of the Sun.

Phobos eclipsing the Sun