This is the Ukrainian singer Sofia Rotaru who is basically the Soviet Nana Mouskouri due to her popularity and her ability to sing in different languages. Just checked her out yesterday and she has some really good songs. She is of Moldovan descent and has been around since the 1960s.
Here are some songs of hers I like I can recommend.
Odna Kalyna.
https://www.youtube.com/watch?v=1TQvlsc5iWo&feature=related
Ne Sprosysh
https://www.youtube.com/watch?v=Kouq8DZL7JA&feature=related
One of her songs covered by Dimitry Koldun (lovely version).
https://www.youtube.com/watch?v=O8ueQ4GKNXE&feature=related
Her version of the same song.
https://www.youtube.com/watch?v=Y0PB8VvomQg&feature=related
Hutoryanka.
https://www.youtube.com/watch?v=S-6uxguIRlM
Vospominaniye.
https://www.youtube.com/watch?v=xvCWVWQDFgQ
Her page on Wikipedia.
http://en.wikipedia.org/wiki/Sofia_Rotaru