Mushoku Tensei: Isekai Ittara Honki Dasu, World Teacher: Isekaishiki Kyouiku Agent Recommendations
Protagonists reincarnate with their memories intact, full of regrets in their previous life. During this second life of theirs, they pledge to live their life to the fullest. They are reborn in a loving family, and because of their determination, they rise up as talented prodigies. They get more and more powerful, enabling them to protect their loved ones (family, friends, and harems alike).
Both of Novels are superbly similar because both of main character were killed in the previous life and "incarnated" to the new Magic world. Both of them also wield unusual magic