First, this is a lovely book - I highly recommend this Heritage Press copy from 1970; it's beautifully printed with popping color illustrations, really nice.
"Russian Folk Tales" will be most interesting to those who like these kind of stories - Grimm, The Thousand and One Nights, Italo Calvino's "Italian Folk Stories," etc. But there are some proverbs here you won't see in the others, such as "the morning is wiser than the evening." I love that expression.
The highlights here were "Go I Know Not Whither - Fetch I Know Not What" (a fabulous one), "Koshchei the Deathless," "The Water King and Vassilisa the Fair," "The Soldier's Midnight Watch," and some others. Vassilisa the Fair and Koshchei the Deathless are also characters in other stores. Koschei the Deathless is a fixture in Russian folklore, as are Baba Yagas, who are supposedly the evil witches. But here not all Baba Yagas are bad, or at least they help some characters.
And that's an odd thing: which characters get helped and when. It seems a very chancy thing to me; there aren't always clear morals here. Yes, there are classics like "Frost" where the bitchy daughters get what's coming to them, and there are many stories here where the Prince is a hero who gets the girl (who doesn't love those stories? Seriously), but there are some characters who don't seem to earn it or warrant the aid they get from wizards or spirits or what have you.
All in all, worth reading and this book, like the Heritage Press's edition of "The Thousand and One Nights" is outstanding.