Like costume drama, fictional history is okay?
Alchemy of Souls (ML is the son of previous king so he's pretty much the brother of recent king, while FL is a soul that entering the body of the lost daughter of an influential family)
Blossoms in Adversity (ML is the nephew of ruling emperor, FL comes from a patriarcal family so she's pretty much in low position and then their family also being exiled)
I've Fallen for You (iirc ML is a prince. But I'm not sure if FL is being neglected but she's indeed going to capital city without any companion. It's between poverty or neglect but I don't remember she's being poor)
Love Like the Galaxy (ML is actually a son of a general, at first being though as the general's nephew; also pretty much unofficial adopted son of the ruling emperor. FL is being left with a foolish grandmother and a black-hearted aunt so she's pretty much neglected.)
The Romance of Tiger and Rose (ML is a prince from another country, being sent to get married with FL. FL is a princess but her mother thinks more highly of her another sister, she's being left doing whatever she wants.)