I'd suggest 'Style and Glamour'. It shares similarities with 'Make Up Queen' in terms of the emphasis on makeup, the characters' pursuit of beauty, and the various scenarios related to the cosmetic world.
You might want to check out 'Fairy Tail'. It has a diverse cast of magical characters and exciting adventures similar to what you might expect in 'Mage and Demon Queen'. There are epic battles and a touch of romance too.
I think 'Fruits Basket' could be similar. It has a similar light-hearted and romantic tone.
You might find 'Fairy Tail' comparable. They both offer a mix of adventure and fantasy elements. Also, the character development and world-building are somewhat alike in both.
There are a few manga that might be similar, like 'Komi Can't Communicate' which also focuses on relationships and character growth.
I think 'The Gamer' might be comparable. Both have characters evolving and facing challenges through unique abilities. However, they also have some differences in the story settings and plot developments.
There are several mangas that might be similar, like 'Komi Can't Communicate' which also focuses on the sweet and sometimes awkward relationships of teenagers.
You could check out 'Canine Chronicles'. It shares some themes of self-discovery and loyalty that are present in 'Make Me Bark'. Also, the art style is somewhat comparable.