If you liked
Monster
|
...then you might like
Death Note
|
Both have the similar, eerie themes of being chased for taking actions that the antagonist party views as correct.
If you liked
Kino no Tabi: The Beautiful World
|
...then you might like
Allison to Lillia
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Based on novels by the same author, both feature the wide-shot traveling scenes (including motorcycles) and have a calming, thought-provoking atmosphere
If you liked
Damekko Doubutsu
|
...then you might like
Chi's Sweet Home
|
Primarily, both involve animals and have short episode lengths - Chi's Sweet Home with episodes around 2:30 minutes each and Damekko Doubutsu with times around 5:00 minutes in length. They're both sweet and comedic, and both are meant for children. Damekko doesn't have the 'Awww' factor that Chi does, however, but they are both similar in other respects.
If you liked
Cat Shit One
|
...then you might like
Wolf's Rain
|
They both feature animals in some form of war, although Wolf's Rain is more post-apocalyptic/Science Fiction-y and Apocalypse Meow is extremely realistic and factual.
If you liked
B'T X
|
...then you might like
Zoids Fuzors
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Both heavily feature combat sequences, and both have animal-like robots, as well as having the same basic 'Good Versus Evil' plot.
If you liked
Angelic Layer
|
...then you might like
.hack//Tasogare no Udewa Densetsu
|
Both Angelic Layer and .hack//Legend of the Twilight Bracelet share in the fact that they are both happy and light reads. They both take place in an advanced semi-future with cyber games, although the world of .hack and 'The World' can seem darker at times.
If you liked
+Anima
|
...then you might like
Petshop of Horrors
|
Both of these involve people with some sort of special connection to animals and involve some mystery and fantasy elements.
If you liked
Wolf's Rain
|
...then you might like
Ginga Densetsu Weed
|
I'd reccomend those who enjoyed the fantasy and animal aspects of Wolf's Rain try on Ginga Densetsu Weed for size. They both use animals as main characters, and they both have one of those scripts that can take you from a laugh, to bawling on the floor and back again in the blink of an eye. Although Ginga is bloody and violent, at times it does seem more oreinted towards a younger audience than Wolf's Rain is, but overall they're very similar.
If you liked
Mononoke Hime
|
...then you might like
Wolf's Rain
|
Both Wolf's Rain and Princess Mononoke have a lot to do with animals, the enviroment, and both take place in a slightly post-apocolyptic setting.