If you're looking for anime similar to Pure Trance, you might like these titles.
In AD 2008, mankind developed deadly weapons and eradicated most of the Earth and its people. 20 years later, a young boy named Conan and his 'grandpa', one of the last survivors of the devastation, live a peaceful life on Remnant Island. One day Conan rescues a girl on the beach named Lana and learns the true nature of the rest of the world. After Lana is kidnapped, Conan's good nature propels him into the biggest adventure of his life: to find Lana, High Harbor, Dr. Lao, and a way to crush the evil and oppressive city of Industria.
The story is set in 2021, 31 years after World War III. Filicia Epstein, a bionics genius, came to Sabano and Sergent Mutou was ordered to protect her. Searching for her only brother, Lyon, Filicia encountered with 1019, a cybernoid, who directed them to the phantom city, OZ, which is a shelter created by Lyon. As the story unfolds, they gradually realised what 'OZ' actually was...
In a post-apocalyptic future, society is split up into classes which are only traversed by fighting battles. Points, required to rise in rank, are awarded for kills, and successful fighters may even have a chance of becoming the ultimate goal -- a citizen. Grey is one of these fighters -- on a mission to become a citizen at all cost. But when his friend and mentor is captured by the enemy, he must embark on a journey to save him, all the while discovering that the society he lives in may not be as it seems...
At the height of civilization, mankind stretched its reach from the distant corners of the globe, to outer space. Man's fate took a turn for the worse when a sudden wind swept across the Earth, causing all human beings to lose every memory they owned, and in essence, their humanity. Now, in a primal world with no rules, one man must endeavor to survive, to discover the future of humankind.
In ancient medieval Japan, the people are oppressed by a brutal emperor and his four children, with no hope for the future… until the prophet Nagi proclaimed that a child born on a day would be their savior. Twins were born that day, a boy, Tatara, raised from birth to be Japan’s savior, and a girl, Sarasa. This is her story: a story of great personal loss, tragic romance, and a resilient unbreakable will.
One day, Sadie is practicing his swordsmanship skills in the forest when he sees strange planes in the sky, men with unusual armor, and most importantly a naked girl lying in a grove. Her name is Miu, and she's lost her memories. With the evil Garubado Empire on her trail, Sadie sets forth with Miu to discover the truth behind her existence and regain her lost memories. However, dangerous challenges lie in their way...
On a chilly December evening, Hana, a transgender woman; Misaki, a teenage runaway; and Gin, a retired bike racer, found little Kiyoko in the trash. For three homeless people, finding an abandoned baby might not have been the best of luck, but with good intentions and two cents to chip in, the trio set out to find the parents of the child. But locating the mother will not be an easy task, and all they have to go on is a small key...
Set in the distant future, the land is ruined and humanity establishes the mobile fort city Plantation. Pilots produced inside Plantation live in Mistilteinn, also know as the "birdcage." Children live there knowing nothing of the outside world or the freedom of the sky. Their lives consist of battling to carry out missions. Their enemies are mysterious giant lifeforms known as Kyouryuu, and the children pilot robots called Franxx to face off against them. For the children, riding the Franxx proves their existence. A boy named Hiro is called Code:016, and he was once known as a prodigy. However, he has fallen behind, and his existence seems unnecessary. Not piloting a Franxx is the same as ceasing to exist. One day, a mysterious girl known as "Zero Two" appears before him. Two horns grow out of her head.
In a post-apocalyptic future, where the world has turned into a desert and the remains of humanity live under the rule of the Third – beings with a third eye on their foreheads. Accompanied only by her tank's AI, Bogie, Honoka tries to make a living as a handyman on the edge of civilization, and she tries to avoid resorting to violence as much as possible; but when situations demand it, she and her sword become a force to be reckoned with. When Honoka is hired by the mysterious young man named Ikus, the Third suddenly take great interest in them; and thus, Honoka’s story truly begins…