Both series are stories based on actual literature. Though the audience for both are vastly different, they both take on very mature and profound themes about life. I think that anyone who appreciates the rawness of literary stories would enjoy both.
Mature, thoughtful stories about adult women living in contemporary Japan. Neither show shies away from realistic depictions of romance, sex, and failed relationships. Both have a strong sense of melancholy interspersed with levity at life's absurdities, and their protagonists make difficult and interesting decisions. Nana is long and lacks a conclusive ending; Anime Time tells four unrelated short stories. In each case it's less about the destination than the journey.
Both of them are made in no-anime style. I don't mean graphic (but in Jin-Roh it's more realistic than nice). These works resemble serious movie so much like director didn't find any good actors and decided to make an anime.
Mature and realistic slice of life, female point of view.
If you enjoyed the slow pace and you are in one of those "look at yourself in the mirror" kind of moods this is exactly what you are looking for.
Slightly nostalgic, bittersweet, very enjoyable watch.