Hmm. I feel there are a lot of shows that´s worth putting in here.
Welcome to the NHK
Eureka 7
Ergo Proxy
Noein
Black Lagoon 1 and 2nd season.
Honey & Clover II
Nana
Utawarerumono
Higurashi no naku Koro ni
Suzumiya Haruhi no Yuuutsu
School Rumble S2
REC
Death Note
Ouran Koukou Host Club
Hmm, and from these I´m supposed to choose 5? I guess it would be.
Noein
Ergo Proxy
Black Lagoon 1st and 2nd season
Suzumiya Haruhi no Yuuutsu
Eureka 7
Probably doesn´t count but I saw them last year and they need somekind of honorary naming.
Kare Kano
Nausicaa
Howl´s Moving Castle