One of the best anime I've seen
1) Death Note
2) Elfen Lied
3) Kimi ga nozomu Eien
4) Berserk
5) Onegai sensei

Best manga
1) Naruto
2) Fairy Tale
3) 20th Century Boys
4) Monster

oh yeh i usedto watch cowboy bebop

You should definately watch:

-Death Note
-Ouran High School Host Club
-Code Geass
-Elfen Lied
-Fullmetal Alchemist

Try to watch:
-Elfen Lied,
-Vampire Princess Miyu(pretty old but really great one. I suggest OVA version, but'normal' episodes can do it too...)
-Kuroshitsuji is just nice;)
-Maybe InuYasha(manga is better anyway)
And many others- it'll be easier to give examples if you describe your intersts(for eg I really like stuff like vampires, demons, fantasy climats, bishonens:P etc while bio mechanics, mechs and so on aren't my favourites;))

I don't read much manga but top anime:

Toradora
Ranma 1/2
Haruhi
Sumomomo momomo
Guren Lagen
Evangenlion
Black Lagoon
Suger Gals
School Rumble
FMA
FMP
All Miyazaki's movies, and a whole lot more.

I don't really read manga but my favorite anime series are:

Ghost in the Shell: Stand Alone Complex (Both 1st and 2nd gig. Also the movies are great too)
Cowboy Bebop
Death Note
Code Geass

anime:
air
naruto
bokurano
toward the terra
fma
and evangelion ofcourse

Only read bokurano and naruto manga, both pretty awesome.

Oh my gosh, thank you so much! I'm definitely looking into that. It really sounds awesome.
Thank all of you guys.

anime:
vampire knight
skip beat!
vampire knight guilty
blood+
earl and fairy
baccano!
trinity blood
jyu-oh-sei
wolf's rain
ouran host club

manga:
skip beat!
vampire knight
tail of the moon
hana-kimi
yurara
rasetsu
mixed vegetables
wanted
ouran host club
heaven's will