The classic comparison here is always 'Special A'. The dynamic is pretty similar, with the female lead being intensely competitive and driven, she's top of the elite class and the romance builds from that rivalry. It hits a lot of the same beats.
I see 'Ouran High School Host Club' mentioned a lot for this, and I get it, Haruhi is fantastically strong-willed and pragmatic, but the overall tone is way more absurdist comedy than the specific workplace/status-flip tension that defines 'Maid Sama'. Still, if the core appeal is a no-nonsense girl surrounded by chaotic rich guys, it absolutely qualifies.
For something with a bit more bite, 'Yona of the Dawn' is a total shift in genre into epic fantasy, but Yona's journey from sheltered princess to a determined leader rallying her own warriors is one of the best 'strong female lead' arcs out there. It's less rom-com, more adventure with a strong romantic subplot.
A slightly deeper cut might be 'Saiunkoku Monogatari'. The heroine, Shuurei, is brilliant, hardworking, and literally trying to become a government official in a fictional empire that doesn't allow female officials. The political intrigue is heavier, but her grit and intelligence in overcoming societal barriers feel very in line with Misaki's struggles.