You may be interested, if you're not familiar, with The Retuses, a Moscow-area band that has used Esenin's poems as the basis for several songs. Unfortunately, they were never recorded as part of an album, but many recordings are present on Youtube. Some are better than others, and the recording for Письмо к женщине is particularly well done: https://www.youtube.com/watch?v=UYgcUfMXJLw&t=2m30s

Шаганэ: https://www.youtube.com/watch?v=t8NYyVB_QyI Though I like this cover of it more: https://www.youtube.com/watch?v=TEN3Zugtqgs

Пой же, пой. На проклятой гитаре: https://www.youtube.com/watch?v=ME_Kxc9VlFw though I've sadly never found a better recording.