Takemoto Takeru, an ordinary high school student, encounters a strange light during a bike delivery for his part time job.

When he stops and searches the surroundings, he notices a cute girl named Hikari climbing out of a sparkling cocoon in the forest.

Takeru instantly falls for her at first sight, but was interrupted when suddenly a monster appears at the same spot and attacks the girl.

This is the beginning of adventurous and exciting days for Takeru, the mysterious girls, Hikari and Akari, his childhood friend Nishino, Mari, and his classmates.

Adaptation of Top Wo Narae 2!/GunBuster 2.

From here:

"Top wo Nerae 2! Diebuster follows the story of Nono, a country girl who dreams of becoming a space pilot (or to be more precise, 'like Nonoriri,' the meaning of which is revealed as the series progresses) who, due to a chance encounter with an actual space pilot finds herself becoming part of the elite Fraternity. Made up of teenage pilots called Topless, and armed with quasi-humanoid weapons called Buster Machines, the Fraternity's mission is to protect the people of the Solar System from attack by swarms of uchuu kaijuu (literally, space monsters).

The series revolves around Nono's quest to become like Nonoriri, her relationship with Lal'C Melk Mark, the first Topless she meets whom she immediately idolizes (to the point of 'ironically' calling her onee-sama, or big sister), and the hard work she believes she has to do to be 'worthy' of Lal'C's attention. It also explores her interactions with the rest of the Idols, her efforts to fit in and, ultimately, the truth to her forgotten past."

The manga covers about half of the OVA story. The "extra story" chapters in Dragon Age are more comedic than the Dragon Age Pure chapters.

From Bandai Entertainment:

In his skyless cavern of a village Simon toils daily, drilling holes to expand his stifling little world until one day he makes an extraordinary discovery: a small glowing drill-bit and the man-sized mech it activates. Before he can give it a second thought Simon's dragged into a plot to break through to the surface by the local gang leader Kamina, only to have the ceiling come crashing down on top of them under the weight of a giant monster! It somehow falls onto the boisterous Kamina and cowardly Simon to defend their village, but once they defeat the monster what awaits the duo on the surface world? Get ready for buxom babes, beastmen, and giant mechs as only GAINAX can provide them!

From VIZ: In 2015, the "Angels" have returned, and Shinji Ikari, a fourteen year-old child of the new Earth, is forced by his father -- Gendo, commander of the secret organization NERV -- to pilot the monstrous biomechanical weapon called "Evangelion" to match the Angels' fearsome power...

The story centers around a teen-celebrity-like blonde-haired girl named Panty, who can form pistols from her panties; and a black-haired Goth Loli girl named Stocking, who forms a pair of swords from her stockings. The two are angels sent from the heavens to battle the Ghosts on Earth.
They are both fallen angels paying their way back to heaven with coins left by every ghost they get rid off.

Adapted From Neon Genesis Evangelion. A short story in the lives of the young Evangelion pilots. One hot day, Shinji gets into a fight with his apartment-mate Asuka, due to her revealing clothing. Will Shinji be able to figure out how to patch things up with her?

A re-imagining of Gurren Lagann. In this alternate version of TTGL, Simon lives in Tepelen city and dreams of becoming a Gunmen pilot after having seen the stars through a crack in the sky. One day, he comes across a strange small Gunmen. The hatch opens, and out comes a beautiful girl named Nia.

Naota's life isn't simple: he lives with his eccentric father and grandfather in a two-story house above a family-owned bakery in a town marked by a gigantic factory at its heart. The factory looks suspiciously like a hand iron, complete with a steam release at the top--not the most typical landmark. Life is already strange enough, but to top it off, his older brother's ex-girlfriend starts making extremely suggestive passes at him... and an impish, playful alien smacks him in the head with a bass guitar and then infuses herself into his family.