If you're looking for anime similar to Dead Dead Demon's Dededede Destruction, you might like these titles.
In the future, aliens coexist freely with mankind on Earth. One such alien is NieA, a lazy yet spirited girl who wastes away her days while living with the studious Mayuko. And life isn't easy... Mayuko is always short on food money, the spa where she works is about to go bankrupt and Mayuko's alien-crazy friend Chiaki is obsessed with NieA.
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The arrival of enormous, alien vessels, wrapped in mystery. Human life continuing "as usual" while the alien presence becomes a daily occurrence. Oddball daily life of humans in this new world, which is changed forever, even as it remains unchanged. These are features common to both NieA_7 and Dededede. If you like the slow-moving, contemplative style of one of these stories, you will probably enjoy the other.
Every action has its consequence. From a man running to stab a soldier only to be squashed by a giant woman falling from the sky, to a stranded man’s plea for help triggering his own demise, whether pausing to take a photograph or deciding to climb a mountain, a man must be aware of the outcome of his choice.
At a typical elementary school in Japan, yearly chores are being distributed. Yuri and 3 other students are chosen to be the beneficiaries of the alien hats for the year. Alien hats?! Yuri's sentiments, exactly. Despite her misgivings, she and her classmates must round up stray aliens that have escaped from a crashed spaceship -- with the help of the alien hats, of course.
I'm Satake Hirofumi, your ordinary, run-of-the-mill... death row prisoner." Satake Hirofumi is a prisoner on death row for murdering his fiancée. He's also an "Undeadman" who has survived many desperate situations. For this, he has earned the interest of a research institution called "Human Crazy University," which studies real-life miraculous phenomena and the people who become entangled in them. Now a subject of their research, Satake relates to them his memories of his immortal, yet unhappy, life. Why did he kill his fiancée? Soon enough, the truth sheds light on a much bigger conspiracy...
High school student Homura Suzuko has returned to Ikebukuro, the town where she grew up. But when she gets to school, she finds she has trouble fitting in with the rest of the class. One day, she decides that if she learns to play the card game Wixoss, she might be able to make some friends. She buys a deck set, and when she opens it, the girl on one of the cards begins to move, and speak. "Welcome, Selector." Selectors must battle for control of the five coins that hold all their memories. If they can retake all the coins, they win, and can leave the game. But if they lose, as a penalty--
The eccentric mad scientist Okabe, his childhood friend Mayuri, and the otaku hacker Daru have banded together to form the Future Gadget Research Laboratory, and spend their days in a ramshackle laboratory hanging out and occasionally attempting to invent incredible, yet generally useless, futuristic gadgets. However, their claymore is a hydrator and their hair dryer flips breakers, and the only invention that’s even remotely interesting is their Phone Microwave, which transforms bananas into oozing green gel. But when an experiment goes awry the gang discovers that the Phone Microwave can also send text messages to the past. And what's more, the words they send can affect the flow of time and have unforeseen, far-reaching consequences...