This video comes highly recommended for adults and children with English subtitles
Here are two more videos that will especially appeal to children.
"Cheburashka" is a most adorable little creature who is sure to enchant your little ones.
"The Song of Cheburashka" is sung at birthdays. In addition, your little ones can meet Crocodile Genna!
Here are some more cartoons that come highly recommended:
Russian cartoons with the wolf and the rabbit. Incidentally, Anatoliy Papanov, a brilliant Russian comical actor, read the parts of the wolf.
Here are some more cartoons
This one is interesting, but is not recommended for children because they wouldn't understand much: