I read 源氏物語 (Genji Monogatari) last semester for school, and absolutely fell in love with Murasaki Shikibu's work. Naturally, when I discovered an anime based off the tale, I had to watch it. (It can be found on YouTube) The anime adds a very unique twist to the tale, focusing most on Lady Rokujo's venegeful spirit. With that slightly horror-esque environment, Genji's liaisons have a whole new element, and Genji himself seems more dimensional than in some translations of the tale. If you don't know what I'm talking about, this anime may not make a whole lot of sense to you. The story is vastlyenriched from allusions to the text, which is why I can give the enjoyment a 9 and the story only an 8. The anime does not go into the arc with Niou and Kaoru.

Overall, my recommendation is:

If you've read the Tale of Genji and enjoyed it: WATCH!
If you haven't read the Tale: Get some background info on his various lovers and then watch. You'll want to focus on Lady of the Evening Faces (Yugao), his wife (Aoi), Lady of the Plum Blossoms (Murasaki), The Empress (Fujitsubo) and Lady Rokujo (subtitled differently in the anime).