This page dedicated to the Google doodles is a testimony to it.
http://www.google.com/doodles/finder/2012/All%20doodles.
Here are some interesting and innovative Google doodles from previous Olympic games
Beijing 2008 Olympic Games (August 14, 2008, Basketball): The doodle gives you an interesting pictorial representation in which a dragon on fire is putting a ball into the basket. A rat apparently can be seen standing at the bottom of the basket. This doodle was crafted to mark the basketball event of the Beijing Olympics in 2008. Check it out here
Beijing 2008 Olympic Games (August 20, 2008, Athletics): The doodle shows a pictorial representation of a horse and a hare racing along signifying stiff competition in athletics among countries. Click here to view it
2004 Athens Olympic Games (August 26, 2004, Taekwondo): Commemorating the taekwondo event, Google crafted the image sequence showing two men (a young and an old) engaged in a battle
to outdo each other. Check it out here
2004 Athens Olympic Games (August 16, 2004, Swimming): It represented a man floating underwater with a gold medal held high over a pole so as to signify victory in the swimming
event. http://www.google.com/doodles/2004-olympic-games-swimming
2000 Sydney Olympic Games (September 22, 2000, Weightlifting): In this doodle, a rabbit
appeared to be struggling to lift the weights so as to signify the amount of effort that athletes put in preparing for the weightlifting competition. Check it out here
2000 Sydney Olympic Games (Septermber 21, 2000, Cycling): An innovative idea where a fox on a cycle suggested the concentration levels of the athletes participating in the Olympic event of cycling. Check the doodle here
Also Read: Cheer for your favorite Olympic Team with Google's exclusive Olympic page