Some of my favourite anime openings are...
Daze from Mekaku City Actors/KagerouProject
Goya no Machiawase from Norgami
MIIRO from Kancolle
Daydream café from Gochiusa
Uragiri No Yuuyake from Durarara!!
Yasashisa no Riyuu from Hyouka
Haru Modoki from Oregairu
Kuchizuke Diamond from yamada kun to 7 nin no majo
Rakuen PROJECT from TO LOVE RU Darkness
Contrail ~Kiseki~ from Ao no Kanata no Four Rhythm
Kyoukai no Kanata from Kyoukai no Kanata
Naked Dive from Musaigen no Phantom World
Daze from Mekaku City Actors/KagerouProject
Goya no Machiawase from Norgami
MIIRO from Kancolle
Daydream café from Gochiusa
Uragiri No Yuuyake from Durarara!!
Yasashisa no Riyuu from Hyouka
Haru Modoki from Oregairu
Kuchizuke Diamond from yamada kun to 7 nin no majo
Rakuen PROJECT from TO LOVE RU Darkness
Contrail ~Kiseki~ from Ao no Kanata no Four Rhythm
Kyoukai no Kanata from Kyoukai no Kanata
Naked Dive from Musaigen no Phantom World