Maou no Ore ga Dorei Elf wo Yome ni Shitanda ga, Dou Medereba Ii?

Both have a demonlord like sorcerer main character who's absurdly strong and lives out of the city both have a timid shy kind female lead both have the male lead not knowing how to express feelings towards the female Konyaku Haki - youngest to graduation the academy Maou no Ore - youngest archdemon.  

Both focus on high power sorcerer male character who comes to own an elf-slave love interest. In both cases the OP demon lord male character puts on an evil act to make up for his inability to talk to women but is actually looking to free the slave long term. Unlike Elf Bride,Isekai Maou is a harem romance comedy with two slaves: an elf girl and a cat girl. The show's comedy also derives heavily from ecchi situations. Still the romance is there and the situations are very similar.  

- a powerful yet socially awkward male mage - a discriminated female elf/half-elf disciple Mirroring the dynamic between the characters, their relationship evolves from one of mastership/mentorship to a blossoming romance, as they navigate societal prejudices and personal growth together. Mahoutsukai no Yome is slower and more serious. 

both girl in the story had a very sad or difficult back story but later saved when out of good luck some some strong handsome man becomes their husband they get to experiene happiness. both anime are quite romantic.so hightly recommended