If you're looking for anime similar to Re:ZERO: Starting Life in Another World - Memory Snow, you might like these titles.
With her baptism ceremony complete, Myne begins work in the temple as an apprentice shrine maiden. Awaiting within is what she always wanted: a room full of books! But her new life isn't quite the dream she was hoping for; she's surrounded by nobles who scorn her commoner origins, and even her own servants are causing her trouble. On top of that, she has to constantly battle the weakness of her own body. But with her love for books burning in her heart, she gives her all to her new apprentice duties.
After dying as a result of God's mistake, the main character finds himself in a parallel world, where he begins his second life. His only possessions are the body that God gave back to him and a smartphone that works even in this new world. As he meets all kinds of new people and forges new friendships, he ends up learning the secret to this world. He inherits the legacy of an ancient civilization and works together with the kings of some very laid-back countries on his carefree travels through this new world.
One day, the supervisor in charge of watching over Earth was taking care of a distortion, when they made a mistake that caused Kaoru Nagase to lose her physical body. Not only that, but reincarnating her into a different, less culturally advanced world is the only thing they can offer to do for her. Not one to take this turn of events sitting down, Kaoru makes a demand: the power to create potions at any time she pleases, with whatever effect she wants it to have—and it doesn’t stop there either. She asks for a magical Item Box, the ability to understand and speak every language, and the same body she had back when she was a fifteen-year-old girl. Using her newfound powers, Kaoru has to try and make a stable life for herself in a whole new world
The second season of The World's Finest Assassin Gets Reincarnated in Another World as an Aristocrat.
Awaking to absolute chaos and carnage while on a school trip, Yogiri Takatou discovers that everyone in his class has been transported to another world! He had somehow managed to sleep through the entire ordeal himself, missing out on the Gift — powers bestowed upon the others by a mysterious Sage who appeared to transport them. Even worse, he and another classmate were ruthlessly abandoned by their friends, left as bait to distract a nearby dragon. Although not terribly bothered by the thought of dying, he reluctantly decides to protect his lone companion. After all, a lowly Level 1000 monster doesn't stand a chance against his secret power to invoke Instant Death with a single thought! If he can stay awake long enough to bother using it, that is...