Any recommendations?

Well there is a lovely one which has gotten quite popular recently and is one of my all-time favourite mangas called Yotsuba@! (pictured). There's barely any storyline, it simply follows the everyday life of a funny little girl called Yotsuba, and the encounters she has with otherwise mundane situations. There's very little at all in the way of mature content of any kind and is suitable for both genders, though like the mangaka's previous work Azumanga Daioh there are perhaps slightly surreal undertones running through, such as the fact that Yotsuba's real parents are not known or heard of. One of those rare mangas that makes you feel all happy inside XD
Also if you like shoujos there's always Fruits Basket; unlike Yotsuba@! there is also an anime version, though the anime is said not to be as good as the manga. I'm not much of a shoujo person at all, but this manga was definitely an exception to the usual and has become one of my favourites.

Right now I am completely obsessed with anything done by Kyousuke Motomi. The one that drew me in is called Dengeki Daisy. It is ongoing. There are 11 volumes available to read on line, 12 volumes out in English to purchase (13th available in December) and I know there is atleast one more volume available in Japan. The following is the summary as written on a site that sells the manga:

After orphan Teru Kurebayashi loses her beloved older brother, she finds solace in the messages she exchanges with DAISY, an enigmatic figure who can only be reached through the cell phone her brother left her. Meanwhile, mysterious Tasuku Kurosaki always seems to be around whenever Teru needs help. Could DAISY be a lot closer than Teru thinks?

One day at school, Teru accidentally breaks a window and agrees to pay for it by helping Kurosaki, the school janitor, with chores. But Kurosaki is an impossible taskmaster, and he seems to be hiding something important from Teru...

I have fallen completely in love with this manga and would recommend it to anyone.

Strider Hiryu, the Manga where the Strider Arcade Game originated.

Be sure to let others know not to call him "Strider" as that mistake is so old it's getting annoying.

Well, have you ever read the Naruto manga? It has some of the best characters I have ever had the pleasure of reading about. You have to read quite a bit before most of them are introduced, though. The story line is amazing, too! Full of twists - especially in the Naruto Shippuden ones!

Rosario Vampire (I love this one!)
Skip Beat
Fairy Tail
Negima
Akame ga kiru
One Piece
Naruto
Full Metal Alchemist

Sorry. This will take a looong time for you to read. Enjoooy~

SHOUNEN|
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ReLIFE (MY FAV <3) [comedy/school/slice of life/romance]
1/2 Prince (AWESOME) [comedy/action/adventure/genderbender/manhua/manhwa/romance/slice of life]
Fullmetal Alchemist (action/adventure/military/magic)
Owari no Seraph (action/military/magic/vampire) [picture]
Owari no Seraph: Guren Ichinose, 16-sai no Catastrophe (prequel to Owari no Seraph) [ongoing] {school/slice of life/demons/supernatural/action}
Nanatsu no Taizai (action/adventure/ecchi/romance)
Detective Conan (mystery/police/shounen/adventure)
Saijaku Muhai no Bahamut (mecha/magic/school/harem)
Magic Kaito 1412 (magic/slice of life/action)
Soul Eater (guys or girls manga tbh)
[school/magic/demons/action]
Ao no Exorcist (demons/action/comedy/shounen)
Hataraku Maou-sama! (comedy/slice of life/demons)
Baby Steps (guys or girls manga tbh) [sports/comedy/romance]

SHOUJO|
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Akatsuki no Yona (comedy/romance/adventure)
Akagami no Shirayukihime (romance/comedy/fantasy)
Date a Live (mecha/supernatural/slice of life/school/romance)
Cardcaptor Sakura (shoujo ai/shounen ai/romance/magic/slice of life/school) [a little gay don't worry nothing serious, just your typical magical girl manga]
Tokyo Mew Mew (magic/fantasy/slice of life/school/romance) [MY FIRST MANGA O:]