From Yo Manga
A woodman who dropped his axe in a pond but the mountain god is a woman?

An exciting battle starts in the archipelago. Enter the arena to feel the excitement! A game with summons called 'droid' whose based on tales have started, who will be the best in the game?

Lyle is a young man who lost his memories when he was young, and doesn't know who he is or where he came from. His only connection to his past is his Soul Gadget, "Czerny". Lyle was adopted by Gio, and has a sister-in-law named Sheska. These three work together on special thieving jobs to make ends meet. Read along as Lyle uncovers the secrets of Czerny and his past...

Akamine Ryota, a student Angel, is sent to earth to complete his training.
God created angels to guard the peace in human world. Akamine Ryota is a promising senior at the angel training school, but because he lacks full control of his powers he's not allowed to graduate. Fellow students Shirogane, Aotsuka and Kurosawa are in the same predicament. Together, the four are sent to Earth - to purge the human world of evil and to finally complete their angel qualifications!

From Udon Entertainment:
Magical JxR tells the story of two teenager wizards and the young girl they befriend: “Jay and Aru are two of the most popular students in wizardry school. However, before they can graduate, they must venture out into the REAL world and fulfill a one year magic contract with a human girl named Cho-Ah. Is Cho-Ah ready for a whole year with two enthusiastic wizards-to-be at her beck and call?"

Sasakura Kyouya is your typical average high school boy (what else would he be? a ninja?) who is no longer ordinary after meeting a girl shinigami one day, who her purpose is to protect him. How will Kyouya survive this aloof shinigami? What kind nud- *cough* i mean "Plot" awaits him?That is only for Kyouya to find out!

From Viz:

What if scientists discovered that mythical creatures like mermaids, dragons and werewolves actually did exist? Better yet, what if any kid could train them to compete in the ultimate role-playing game? Welcome to the world of Legendz, where master trainer Ken Kazaki and his loyal Windragon are about to turn fantasy into reality!

From Dan of Population GO:

Everyone in the world is born with two things: the ability to collect Life's Light and a Light Vessel in which to collect and hold it. Most people use their vessels to assist them in doing various tasks, but occasionally someone is born with a vessel that allows them to do battle.

The protagonist, Ruyu, stumbles upon the end of a battle only to find one survivor. Could the young boy she saved be connected to the king's men who entered the town with the intent of killing everyone?

NOTE: Publication of this series was moved to a Chinese magazine. The number of chapters published in Asuka before discontinuing its publication of Yami no Naka no Crown is 6.

From Tokyopop:
Tian and Drei von Richenstein, two unlikely heroes, embark on an adventure filled with excitement, intrigue, and comic relief. Their adventures are complicated by the fact that they have a knack for making allies into new enemies...

Lanfeust in a young boy living in Glinin village. He is the pupil of the blacksmith Gramblot and is engaged to C'ian. His dream is to become a great hero but it seems unlikely... Until the day a knight comes to his village to repair his sword shattered during the fight against a troll. Readers of the Lanfeust of Troy (a French language long running comic series) will feel a sense of familiarity, as its basically the same story, in manga format. Which the title also gives away.

From NetComics:

Abandoned in a cabbage patch as a baby, Iseulbi [aka Misty-Rain] is saved from certain death by a witch who brings her up as her own. Far from the company of humans, she is raised as one of the Dokebi, a magical race from Korean myth. Among them she is happy and content, until one day she loses the trust of her protector, causing the enchantment that had kept the secret of her true identity to be broken. She is cast out to the world of her birth and must find her place among her own kind.

An adventure story of two knights who plan to save the King of Lions by seeking out the greatest treasure of all.. the immortal chalice! Takes place in a land where people not only coexist with animals, but develop their mannerisms. The tribes find themselves on the brink of war, and not everything is as it seems in the Land of Lions. (Published on www.MangaMagazine.net/ visit for the latest updates!)

From Go! Comi: Long ago, the king of a far-away land made too many enemies by expanding his massive harem. Punished and sealed away in the form of a genie, the lecherous former king can only end his curse by helping 1000 girls find love...and it's not as easy as it sounds! A shy virgin, a hopeless romantic, a sweet younger sister and a nosy older one -- these girls will need all the help they can get! Includes short-stories The Chicken That Flies in the Sky and I'll Kill You With a Kiss.

The Ribika are a race of cats possessing ears and tails. Their bodies are lithe and nimble, and they live in the land of Shisa. However, a curse called the "Void" is spreading through the forests... One of the Ribika, Konoe, lives in a small village called Karou. One morning, he wakes up to find that his ears and tail have turned black. There is also a symbol on his body; the mark of the curse. Konoe embarks on a journey through the forest to find the truth.

From ADV:

Sakis, the Scion and Godslayer, gets entangled in a deadly incident when an unknown ship enters Lagoonarian airspace. After uncovering explosives along with the seeds of Abomination, Sakis begins a quest to uncover the mysteries surrounding the Ancient Gods!

Fantasy series of short stories that involves animals:

Pet Doctor Atsushi Kirishima meets a cat-guy with tail, cat ears and an injured eye when he is searching for his runaway patient animal. Atsushi can not leave the cat-guy and takes the guy to his animal hospital with him.

Hattori, an apprentice of Atsushi's father, Kenzou finds a dog in the mountains and brings it back in a car. On the way home the dog changes into a girl.

The titles stories are:

The Sounds of a Bell Can Be Heard
The Cat's Love
A Flicker of Light (two parts)
Amber's Diary (also known as Kohaku's Diary)
The Delicate Pair (also known as Every Subtlety)
(Black Cat + White Dog) > Human

Trouble Little Traveler
A cute unrelated shoujo short story about a boy meeting tiny aliens.

From Hoshikuzuu Scans:

The Kuga House is the most prestigious deer family in Nara Prefecture. Shiraha, their heir, is attached to childhood human friend, Sousuke. Shiraha is popular and loved by all, while Sousuke is a mere servant of the house. But he is always telling Sousuke how much he likes him. Even though he feels special to be singled out by the beautiful and esteemed Shiraha, he knows that there is a line that he cannot cross. But! During mating season, Shiraha can’t control himself anymore and he comes on to Sousuke! Since then, the scales of their well-balanced relationship tips and Sousuke’s virtue falls into danger!

The "campus sword & sorcery" story is set in a private high school that brings together "saviors," youths with awakened memories from past lives. Some of them are Shirogane who fight enemies with weapons and techniques gleaned from the Prana powers from their own bodies. Others are Kuroma who wipe out enemies, with magic to manipulate the Mana powers that surpass physics. A boy named Moroha Haimura enrolls in this school. He is the first person in history with past lives of both Shirogane and Kuroma.

Welcome to the 35th Test Platoon of the Taimadou Gakuen, or "Antimagic Academy". The academy is home to squads that hunt down and kill, destroy, or otherwise render harmless magical practitioners and artifacts. The 35th Test Platoon is a band of misfits who don't seem to fit in anywhere else. Each member is a specialist with a focus on a different aspect of operations. The squad may become the greatest team ever, but first they must overcome their greatest obstacle: each other!

"Lily White," by Ruri Hozuki and Sakura Shio, is a yuri version of the fairy tale Snow White. It's an illustrated story rather than a manga.