Yeah it's getting ridiculous. I was wondering though who are the seven unavoidable LIs, why are there no animations, and can you have sex with Nana yet?
Didn't you read the front page? It answers the question you have about Nana. As for the 7 princesses of heart they are the following.
Allison (Nana the meat and potatoes of the game)
Shizuka (Our Diabetes inducing ball of cuteness)
Catherine (The cousin who calls the MC monkey)
Elizabeth (Catherine's mother/MC Aunt and the first of the unavoidable to be claimed by the MC)
Amy (MC's other aunt who is currently away)
Jamila (Omar's mother and MC's second mother)
Asumi (Shizuka's mother and the 7th princess of heart added recently)