Gate: Jieitai Kanochi nite, Kaku Tatakaeri, Re:Zero kara Hajimeru Isekai Seikatsu Recommendations
Both these shows contain a main character that comes from a modern world and are thrown into a fantasy world with magic, elves, knights, etc. They are light hearted and serious when it comes to their friends and ones they care about.
The plots can also be tied to each other. Our "modern" MCs are the hero that can change and disrupt the life of a fantasy world as they learn more of their surroundings and how to adept to the new world around them.
The MC guy is transported to another world. Action packed. In Re:Zero more violent and darker theme.