Futari no Tame ni Sekai wa Aru no
Futari no Tame ni Sekai wa Aru no Manga Summary
From ShoujoMagic:
1) Futari no Tame ni Sekai wa Aru no (2 chapters and an extra) Asukagawa Chiharu is student body president of Ushitora High. Kisaragi Kyou is student body president of Ushitora's rival school, Bishin Academy. That naturally makes Chiharu and Kyou bitter rivals as well, but the relationship they hesitate to flaunt in front of the public eye is one of... lovers! They even have sex at hotels and are an average (!?) couple!!
See "Soko wa Nemuri no Mori," story 02 : "The Star Knows Everything", for a side story of this manga.
2) Valentine Cinema
3) The Queen's Favorite