Click on the link below to watch the full film, "Grave of the Fireflies"...FREE and online. It's not as cheery as 'My Neighbor Totoro', but still an interesting story.
http://freedisneycartoon.blogspot.com/2013/07/grave-of-fireflies-1988-watch-online.html
http://freedisneycartoon.blogspot.com/2013/07/grave-of-fireflies-1988-watch-online.html