"The youth ensemble of love, food and war..."

Anthologies of Nanoha shorts.

The world is split into two kinds of people: those on the "inside" of EDEN, and those on the "outside". Within EDEN there is clean air and water - it lived up to it's name of a true paradise. But EDEN cannot contain all of the people of the world. EDEN actually made conditions worse for those outside. Because of this, many resistance groups have been formed. Ricalna Forde is a soldier of the resistance team COSMOS, whose mission is to infiltrate EDEN's main headquarters and destroy the "Central CPU" - that controls all of EDEN.

A boy wakes up in a strange room and finds a girl passed out with him. They find out they both have weird collars on. The boy has a phone which seems to be connected to the people behind this. They want them to do what?

From MangaHelpers:

There are huge monsters wreaking havoc in Mikagura Kiriwo's city. Building on his father's work, Kiriwo has created a serum that turns him into a giant monster for a short time. He uses this serum to help protect the town from a monster one day--only to find that everyone thinks he's an enemy, too! Everyone at school and in the media hates the "black monster" that he became, due to the massive destruction he did to the town around him. A girl from his class even has to quit school, due to problems caused by the "black monster." Will Kiriwo be able to show that his monster form is really intended to be a savior? [tethysdust]

The world is in a state of isolation. The cause is due to mysterious deep sea entities the navy has dubbed the "Deep Sea Fleet" and they're taking over the seas, isolating all the countries of the world from one another. Refusing to just sit idly by and let the Deep Sea Fleet have its way, all the countries of the world pool their resources to make a new weapon to combat them... a weapon that is comparable in power to that of a battleship... and its name is: The Fleet Girls. Will this new weapon be enough to combat the Deep Sea Fleet? Will the ensign that was just sent to the naval base where the "Fleet Girls" are kept be able to aid in their struggle... Only time will tell as this war against the Deep Sea Fleet begins to unfold.

The story centers around the film crew for Idol Survival, the internationally popular television program where swimsuited idols compete in games. The crew arrives on the same isolated South American island that TerraSave member Claire Redfield is visiting on an investigation.

A long time ago in a galaxy far, far away.
It is a period of civil war. Rebel spaceships, striking from a hidden base, have won their first victory against the evil Galactic Empire. During the battle, Rebel spies managed to steal secret plans to the Empire's ultimate weapon, the DEATH STAR, an armored space station with enough power to destroy an entire planet.
Pursued by the Empire's sinister agents, Princess Leia races home aboard her starship, custodian of the stolen plans that can save her people and restore freedom to the galaxy.

In the world where the taste and texture of food are very important, there is Toriko, a hunter of precious foods regularly hired by restaurants and the rich.
He's a man with the inhuman skills necessary to capture the ferocious, evasive, and rare animals to complete his ultimate dinner course!
His current accomplice is a weak, timid person who was inspired by Toriko's greatness and accompanies him on all his journeys on his quest for the course of his life.

Note: Was nominated for the 2nd Manga Taisho Award in 2009.

From TokyoPop (based on volume 1):

The World at the Brink of Self-Annihilation

The nuclear age has brought with it the arms race, which has led to the advent of weapons powerful enough to destroy the world itself several times over. Unwilling to take the plunge into Armageddon, the world powers, in league with a group known only as the Black Ghost, have developed super soldiers known as the Cyborgs, designed to fight the wars of the world in space. Unfortunately, the Black Ghost didn't ask the Cyborgs how they felt about their role in the new world order.

This classic work from manga legend Shotaro Ishinomori (Masked Rider) not only told a thrilling tale set against a backdrop of Cold War tensions, but it also helped define the genre of super team stories such as Battle of the Planets, Voltron, and The Power Rangers.