Can anyone suggest an anime to me?

What kind of shows do you like?

Here are some different shows and genres!

Shoujo (aimed to girls): Shugo Chara! It's about a young girl named Amu Hinamori who wants to be her true self, and one day, that wish comes true when a mysterious "Shugo Chara" shows up to guide her!

Special A: It's about these two rivals who always compete, and then just slowly fall in love (it's a great first anime)

Shounen(action etc.): There are a whole lot of these, so if you want to know more, you can look these up!
My top 5:
5. One Peice
4. Bleach
3. Naruto (these 3 are super long)
2. Death Note
1. Code Geass

Slice of Life:
My top 3:
3. School Rumble
2. The melancholy of Haruhi Suzumiya
1. Clannad

Adventure:
My top 3:
3. Sword Art online
2. Zero no Tsukaima
1. Either Shakugen no Shana or Fairy Tail

ETC: These shows are just shows I've watched and loved:
K-on!
Angel Beats
Elfen Lied
Lucky Star! (you will laugh, trust me)

Sorry this was kind of long, and I didn't get to describe some of these. I know you only suggested AN anime, but I just had to put a lot.....
My personal favorite though is Shugo Chara...

Well, some of my personal favorite anime are:
Death Note (mystery/thriller)
Higurashi No Naku Koro Ni (horror)
Umineko No Naku Koro Ni (mystery/thriller)
Jigoku Shoujo (psychological horror)
Another (horror)
Le Portrait de Petite Cossette (drama/psychological horror)
Ghost Hunt (comedy/psychological horror)
Elfen Lied (sci-fi/drama/horror)
Code Geass (mecha/sci-fi/psychological thriller)
Puella Magi Madoka Magica (Magical Girl/Tragedy/Drama)
Kuroshitsuji (psychological thriller (kind of gothic)/action)
xxxHolic (psychological thriller/comedy/fantasy)
Darker Than BLACK (sci-fi/action/psychological thriller)
GUNxSWORD (Mecha/Action)
Le Chevalier D'Eon (psychological thriller/historical fiction)
Ouran Highschool Host Club (Romantic Comedy)
Air TV (drama/tragedy)
Kanon 2006 (drama/tragedy)
Shuffle! (Harem/Comedy/Drama/Tragedy)
Rozen Maiden (Gothic-Like/Tragedy/Comedy/Drama)
Blassreiter (sci-fi/tragedy/action)
BECK Mongolian Chop Squad (Drama/Music/Slice of Life)
Deadman Wonderland (sci-fi/horror/tragedy-like)
Mirai Nikki (horror/psychological thriller)

hmm dey mention most of them but here's some
fairy tail
code breaker
full moon
vampire knight
Kaichou wa Maid-sama
guilty crown
clannad
skip beat
Uta No Prince-Sama Maji Love 1000%
fushigi yuugi
rumbling hearts
La Corda D'Oro
Hiiro no Kakera Dai Ni
Btooom!
Hakuouki Shinsengumi Kitan
kuroko no basket

Ano Hi Mita Hana no Namae o Boku-tachi wa Mada Shiranai. (11 episodes subbed)
C: The Money of Soul and Possibility Control ( 11 episodes subbed)
Daily Lives of High School Boys (11 episodes subbed)
Durarara!! (24 episodes dubbed)
Fractale (11 episodes subbed)
Ghost Hunt ( 25 episodes dubbed)
Inu x Boku SS (12 episodes subbed)
Princess Jellyfish (11 episodes dubbed)
Mushishi (26 episodes dubbed)
No. 6 (11 episodes dubbed)
Ookami-san to Shichinin no Nakama-tachi (12 episodes dubbed)
Princess Tutu (26 episodes dubbed)
My Bride is a Mermaid (26 episodes dubbed)
Shiki ( 22 episodes dubbed)
Steins;Gate ( 24 episodes dubbed)
Dream Eater Merry (13 episodes dubbed)
Zombie-Loan (11 episodes subbed)

All of these I rate 3.5 out of 5 or higher.