Dao Equaling the Heavens - Chapter 2 - 1 Gu Wen_

One moment, Luo Jing was at the brink of death after accidentally touching a power outlet while showering. The next, he was in the body of a man named Garen, with memories of a past he was never a part of flowing into his head. As he slowly gets used to the body of Garen, he begins to explore a planet beyond his own logical comprehension. His journey will see him go from surviving in a planet locked in the 20th century, to wielding secret techniques so powerful that they level cities overnight. However, his journey doesn’t end with Garen. Instead this is but the first of many bodies that Luo Jing will come to wield in his mystical journey between worlds.

The world that nurtured the civilization which reached the pinnacle of magic was on the verge of destruction.
The last survivor transmigrated to the past, when the magic civilization started growing, as countless mages were still fumbling their ways through the thorny paths of magic knowledge.
He, who came from the end of the magic era, aim to reach the pinnacle of magic.

- Description from Novelupdates

Going for a swim, she ends up in an ancient wild Beast World and ends up being brought home by a handsome wolf.

Synopsis ___________________ Viretta Medlit is a hopeless braggart. One day, she casually boasts to a young man she meets about her unfortunate arranged marriage, only to discover that he is her fiancé. To make matters worse, her exaggerated claims stir something within him. “Are you prepared to face any hardship?” “Of course. If it's for the one I love, I’d even hunt a dragon!” “Then let’s go hunt a dragon. And break off the engagement afterward.” Thus begins Viretta's journey to hunt a dragon… All in the name of breaking off her engagement with a fiancé she actually finds quite agreeable!