If you're looking for manga similar to Gyakudou no Haou Senki (Light Novel), you might like these titles.
Do you remember your past? Do you know who your parents are? Himejima doesn't have these answers. She learns that her "parents" are not her real parents and that she was discovered in an old temple. When she returns there, she is taken to a different time, a different land: the land of her birth, where she must bring peace to the world before she can find her way home.
When she came to, she was in another world. A world just like the stage of a popular game, the girl "Kazane" collects and fights with monster skills in a Hyper Learning Story. Before she realizes it, she's saved a town, exposed a scandal, met a ghost, saved a princess, went into a hot spring, and spent her time going to the hot spring daily with her party. In the fight against the approaching devil, Kazene confronts her own dark side during her destined reunion with the Big Cat.
Since birth, Yoji Tanaka, a 27 y/o Job Salesman, who in what ever he does "first thing first" is his motto, without understanding anything was blown to another world. The place that he arrived at was a middle aged kinda frontier village. It's a story where the situation is though he neither knowing the lifestyle nor the language, using a doubtful cheat called skill bonus, somehow the timid mc was able to live through in a world dominated by monster using present-day common sense and little trick.