From Tokyopop:
It is the year 22 H.C. (Holy Century). Shinjuku is populated by monsters and goblins. Humans are endangered and the town is rife with crime. Natsuki Sasahara is a rookie at the Police Company and a newbie bounty hunter. Scouted by her superior, Batanen Fujioka the werewolf, she is half-human, half-catbeast with magical powers, and is slowly getting the hang of the business...

1. Tenshinchigi (Gods of Heaven and Earth)
The gods of earth, water, fire, wind and thunder gather together every day for their assignments. In between causing storms and rain showers love develops.

2. Fragile but Strong
Mayden, the king from Dumayden and Alexander, the king from Alectoria, are best friends. One day Mayden proposes a marriage between his eldest son and Alexander's only daughter but, unknown to most, the king's daughter is actually a rebellious teenaged boy! What happens when Prince Mayville turns up for the marriage interview and meets beautiful but headstrong Alec instead of the rumoured Black Rose Princess Sandra?

3. Stray Cat Rock
Simple first aid to a wounded stranger is interpreted as something more.

4. A Wanderer's Love
A host who enjoys preying on women finds himself unexpectedly falling for a male florist's beautiful bouquets

5. Love Monster
Returning home drunk from a group date Hayato finds a strange vagabond on his doorstep who turns out to be his Uncle Tooru.

From Kokoro no Oasis:

Tomas is a proud and fearless assassin who has never failed a commission. So what happens when he's commissioned to kill Myra, an immortal vampire?

Mangaupdates:When a vampire is in love with a human...and you add zombies into the mix...

What would you do if a tiger skin bikini-clad alien followed you to school every day? Poor Ataru's life has never returned to normal since volatile extraterrestrial princess Lum fell for him. Now an excruciatingly wealthy and genteel rival, Mendo, adds to Ataru's torment. Not to mention an unending stream of extraordinary classroom visitors and educational materials including incompetent cherry blossom spirits, a legendary nightmare-eating tapir, and a fourth-dimensional camera that breeches alternate realities.

Note: In 1981, this series received the Shogakukan Manga Award.
Won the 18th Seiun Award for Best Comic (1987).

From Girls' Generation Scanlations:

Kikuchi-sensei rejected a love confession. The boy cursed him, the next day on the train going to his new job, every man in the car wanted him... But why were they harassing him?! If it wasn't for the young Akane, who knows what might have happened?

After Tsubaki Ryuta is run over by an alien, he receives superpowers that he can’t control. How is Ryuta going to make use of his new powers? Being the new hero of town could be an option, but…

From ShoujoMagic: This manga is loosely based on The Tale of Genji / ??????(Genji Monogatari) and is a MUST read! When the Emperor takes a new Empress, she is barely older than the Emperor's son Hikaru. She becomes both the one woman Hikaru loves and the one woman he can never have. And so Hikaru's feelings roam as his body wanders from bed to bed, seeking a replacement for her. When he finds the girl he believes can take her place...he commits a terrible sin. Now, a thousand years later, Hikaru's nightmares become reality as he is punished for past deeds in a new life--the greatest playboy in all of history...shakes like a lamb when any girl touches him!

While many of us would probably scream at even the thought of a ghost being near us, Freshman Nimura Kensuke just thinks of it as a common everyday thing, seeing as how he has the uncanny ability to see so many of them on a daily basis. Things soon heat up for him when he meets a girl who changes his life from then on. Her name’s Kagura, and she has the power to summon a mighty “spirit devourer”--otherwise known as a “Ga-rei”--called Byakuei. So, what’s Nimura to do? Chase down the evil spirits and have Kagura summon the Ga-rei to devour them, of course! Now, come feast on their adventures like some ravenous Ga-rei!

4-koma about a "human" girl attending what turns out to be a school for monsters.

Really cute and funny!

Rion is on a mission to find her missing friend Shihoko. Her only two clues are a card given to her by Shihoko and a confession that her best friend was in love with a vampire. Thus she heads down to a club filled with pretty male escorts whom she insists are vampires.

Suou, the owner of the club, insists that he doesn't know anyone by the name Shihoko at all. He claims that the hosts are not vampires. After he tries to chase her out of the club, Rion throws a very, very expensive bottle of wine onto the ground to prove that she is not leaving until she finds the truth--and finishes paying for the wine by working part-time at the club.

While trying to rescue her friend, she realizes that Suou and the other hosts are not the group (vampires or not) that kidnapped Shihoko. However, in the middle of that life-endangering truth-seeking expedition, she's saved by another group of apparent vampires. So, who are the real vampires after all this?

Yoshino Shinya is a high school boy who is bullied all the time at school, which leads him to have no friends. However, no one knows that he is actually half-youkai, and due to that, he has the desire to eat human flesh. But because of the promise he made with his youkai father never to prey on humans, Shinya tries to resist his youkai blood that is thirsty for human's blood, and live as a normal high school student. Will he be able to keep the promise he made with his father and keep his secret hidden?

From Echochi Scans:

1) Yoru no Tenohira
Yamada is a cameraman who works at a local TV station. He is asked to film the rumored appearance of a monster at a secret hot spring by the mountain recesses. What is it that he will find over there?

2) Zoku Yoru no Tenohira
Now that Yamada finally met his “true love” in Yoru no Tenohira, he quits his job to embark on an epic journey to find happiness. Nothing’s going to stop him. Even if he has to sacrifice very inch of his life!

From Viz:
Sad at the thought of spending Christmas alone, Kurumi goes out for a walk. While she’s crossing the street, a boy bumps into her and a rein suddenly appears that binds them together. The overjoyed boy tells her she’s his master, and that she’s a Santa Claus. Kurumi dismisses him as a crazy person, but then he transforms into a reindeer?!

From Dragon Voice Project:
The first three chapters are about this cute "couple" and the last one is a oneshot called Amai Kamiato.

• Amai Kamiato -
Ren is a "tame" vampire and currently spends his lifetime with a detective as blood donor while in return he helps her investigate at night. Then suddenly, the most unimagineable thing happens: Ren's daughter Maia appears, but vampires can't have children!

Note: there's a side story of Penguin Kakumei in Vol.3, which hasn't been scanlated.

As a child, Usagi Mitsuki made a promise to a crying girl that when she grows up he will marry her. When he finally becomes an adult, she appears again to make good on his promise, but much to Usagi's surprise "she" is a not only a he, but his family's shrine's goddess!

A dark and stormy night... A haunted mansion... Shrieking maniacal laughter...

On Pomello Island, a wayward genius named Enji has finally decoded the Encyclopedia of Summoning and with it the knowledge to summon and control the dreaded Yellow Dragon.
The power of the Yellow Dragon is to command all the animals of the world; and with it Enji plans to at last gain fame, respect, and the affections of his beloved Moegi-san.

The conditions are right, the huge egg opens, and out walks... a little girl?

Enji's plans for world domination and winning the love of Moegi-san just fell apart. Or have they...

From Aerandria Scans:

A collection of love stories! Each story is heartwarming and sweet.

+ When you meet your special person, what do you do when you find out that he’s evil?

+ After living like a doll for most of your life, is it possible to change?

+ A chance meeting with a boy changes the life of a girl with an illness forever, but that meeting doesn’t seem to matter to the other person.

+ Loving a younger guy can be really tough, especially when you look like a child while he looks like an adult!

Bored of sitting around holding a wine glass all day, the Demon Lord is looking for something new. Something cute. Someone like Komomo, the level 0 heroine who has just appeared before him, ready to vanquish him like all heroes (or heroines) do. Faced with a demon king who'd rather watch TV under a kotatsu and make out with her than spread evil over the land, what will Komomo do?

* Also include are the following short stories:

• Calling in vol. 2
• Stray Doll in vol. 2