My Neighbor Totoro is an animated film that was originally released in 1988 but was re-released by Disney with a new dub on March 2006 (they bought the rights after Fox's expired in 2004). This information was gotten from wikipedia.

So... I was looking for this video on youtube recently and couldn't find it. I have only seen the screencaps of it and was very lucky to find it on someone's website a couple of days ago. So this wasn't made by me.
My Neighbor Totoro is an amazing cartoon, written and directed by Hayao Miyazaki and produced by Studio Ghibli. It was released in 1988. The english dub by Disney was released in 2005. Previous to that there was a dub done by Fox which I am not familiar with.
I have seen the cartoon in japanese with english subtitles. So this little video was very interesting to watch.

EDIT! (January 24th 2009): I found the Fox dub for Totoro last week! I couldn't add the link then so I am doing it now :). And the videos were uploaded this month! Here is the link, it is so interesting to watch the Fox version that so many people here have mentioned they think is better!:
http://www.youtube.com/watch?v=CizVsq0YF4g&feature=ch... (less info)