For both me and my stories and you if you like them:

Giyuu[Pet Names Shinobu gave him]:

Dollface

Doll

Babydoll

Honey/Hon

Dear

Love

Sweet Cheeks

Baby girl (Ironically)

Lovebug

Shinobu[Pet Names Giyuu gave her]:

Koko

Babe

Beloved

Dearest Beloved

Jellybean

Sweetheart

Dear 

Lovebug