If you're looking for manga similar to Kanchigai Hime to Usotsuki Shimobe, you might like these titles. All recommendations are made by Anime-Planet users like you!
The elite and beautiful Ririchiyo Shirakiin has a bad habit—she can’t help but lash out at people with her vicious tongue, all while hiding behind a mask of haughty cool. This attitude has a lot to do with people minding her business because of the Shirakiin family name, but it troubles Ririchiyo to no end. In search of independence and solitude, she moves to the Maison de Ayakashi, an apartment building full of wealthy tenants and with its own Secret Service. Ririchiyo is eager to be alone, but upon her arrival, she is greeted by Soushi, an SS agent arranged for her by her parents. Ririchiyo tries to turn Soushi away, but Soushi’s dogged devotion to his new mistress will not be deterred. The threat against the residents of the Maison de Ayakashi are not to be taken lightly, after all. And despite his puppy-like demeanor, Soushi is not to be trifled with either…
Both series feature a master-servant relationship between a guy and a girl in which the roles are somewhat inversed (the supposed servant acts sometimes like he is a master in a master-pet relationship). Although Inu x Boku SS is not classified as shoujo (due to how demographics work) it might as well pass for one. If you liked one of the series, you might find the other one enjoyable as well.
Similar feel of protagonists, just one is fantasy based. JAhU pretty much summed it up so I don't want to say much more and leave spoilers.
"Flowernoid", dolls created with the special nature of flowers, and who devotes themselves to a master. This is the story of Satsuki, a master flowernoid repair specialist whose daily life changes by happening upon a lovely flowernoid. "From now on, I belong to you" the flowernoid claims.
Both series feature a master-servant relationship between a guy and a girl in which the roles are somewhat inversed (the supposed servant acts sometimes like he is a master in a master-pet relationship). If you liked one of the series, you might find the other one enjoyable as well.