Hoshifuru Oukoku no Nina

Both character were regular citizens from the city but had an unusual look to them that makes everyone wants them. They both are forced to marry the prince and abandon their identity but the strong willed characters run away. The main girl is surrounded by attractive men and have love triangles. Both are really good and addicting - you'll love one another.  

-both animes are shoujo romance with attractive male protagonist - both main female lead came from nothing/are ordinary citizens but somehow becoming the princess of the country - male lead are known for cold personality, but deep down are caring and kind. They're just socially bad. - both female lead are strong characters who are not afraid to be themselves  

Both stories center around a main character who lived a tragic life as a peasant in the slums. Nobody cared for her, and she was sold to the king as a sacrifice. However, she was spared and became a princess of the kingdom. There are many attractive anime men, and the main character must learn to become a fitting princess if she wants to survive. 

Both main characters possess unique traits that make them desirable. Because of that, they're sold off to the prince to marry. Each girl has a strong personality and a kind heart that will change the princess nasty behavior to a good person. Lots of romance, shoujo, fantasy anime. Definitely a breath of fresh air than all these isekai romances  

Similar in sense of a fantasy world involving ikemen (hot guys) surrounding the main character. There is political tension and conjuring a country, and the main character is in the middle of it.