If you're looking for manga similar to Neon Genesis Evangelion: Death and Rebirth, you might like these titles.
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!
A retelling of Mazinger Z mixed with ancient Greek mythology with a modern touch.
Earth is under attack. As giant monsters destroy the cities and alien warships swarm across the skies, 12-year-old Takuma Ippongi runs around the rubble trying to save himself and Koyori, his girlfriend. Takuma's character flaw that he's too hyper and has no self-control and always does everything too hard. When Koyori's sweater catches on fire, Takumi whacks her on the back to put it out, but he hits too hard and hurts her back. "I was just tryin' ta put out th' fires!" he apologizes. "You could've done it gently!" she says. "Why are you so reckless? You've got no self-control! You can't always use maximum force!"
Years ago, after watching his family die at the hands of the Vegan empire, Duke Fleed managed to escape, stealing the powerful UFO Grendizer that the enemy used to destroy his planet in the process. Eventually ending up on Earth, the boy was adopted by Dr. Umon and given the name Daisuke, intent on living out the rest of his life in peace. However, when his father and the mecha pilot Kouji Kabuto realize that the Vegan empire has arrived at Earth to repeat history, Daisuke is forced back into the pilot's seat to save his new home. Alongside Kouji's flying saucer, can Daisuke and his Grendizer stop the fleet and save the world?