If you're looking for anime similar to Conception, you might like these titles.
Souma and his friends were typical high school students, and members of the student council; but things changed when a cat girl named Mao appeared in the school, looking for someone named Zero. Souma accidentally breaks Mao's mirror which causes her, Souma and his friends to be transported to her world. In this world, Souma and the other male humans from Earth can wield soulblades drawn from people's hearts. His friends landed in different parts of a war-torn world, so they have subsequently broken up into separate factions and each person is working towards winning the war. His friends have become each other's enemies, and it's up to Souma to be the one to create peace without choosing which friends should die.
Claude Kenni just wanted to shine free of his military father's shadow, a desire that made him take unnecessary risks. One of those risks whisked him off to an unknown planet full of monsters and magic. There, he met Rena Lanford, an energetic girl with mysterious abilites who believes he is a hero of legend. Soon, they're off on an expedition to find the cause of the monsters and the truth behind the sorcery globe all while hiding the technology he brought with him. Looks like Claude's got bigger shoes to fill than his father's!
Two average teens go on a magical quest to save the life of their friend and her counterpart from another world. But love complicates their journey.
The game takes the characters from the ToHeart2 romance visual novel franchise by AQUAPLUS and puts them in a fantasy role-playing game.
Heavens Library & Crimson Lord brings back Arata, Lilith and the rest of the Trinity Seven to face off against the greatest enemy in the history of the Trinity Seven; Lilith's own father, who is revealed to be the strongest Demon Lord who challenges Arata who is now a Demon Lord candidate.
Over the years, many strange things have washed up on the shores of Windaria. Rick, a former swordsman, knows this all too well, having been found on the beach with a profound case of amnesia himself. Perhaps that's why Rick takes a quick interest in Kaguya, a girl who arrives in Windaria in a similar waterlogged and memory-less condition. It soon becomes apparent that his swordsmanship will be needed to protect her. For dark forces are on the move, all of whom seem to be seeking Kaguya!