If you're looking for anime similar to A Tree of Palme, you might like these titles. All recommendations are made by Anime-Planet users like you!
My Beautiful Girl, Mari is a story of two childhood friends, Nam-woo and Jun-ho, who are growing up in a fishing village full of unwanted change. With the discovery of a glowing marble, Nam-woo sometimes finds himself in a lush, dreamlike world, inhabited by a beautiful girl named Mari. With more change inevitable, Nam-woo and Jun-ho struggle to cope with reality, even when tragedy strikes.
This is a gut recommendation. Neither have much in common but the characters in both anime live in a dream like land and strive towards their goals. Powerful animation in both anime leave a great impression on you while watching both tales unfold. If you liked either of these I suggest checking out the other as you will most likely like it too.