In these dramas, the male lead is not ill, and he's a tad bit weaker than the FL but nothing too much and that difference is not the real focus of the drama.
Weightlifting fairy Kim Bok Joo (It's not emphasized in the story but it's strongly implied that she's much stronger than him, with her being a weighlifter. And she did save him in the past).
Kill me, heal me (she is generally a good fighter whereas he is not usually a fighter. She does protect him a lot, though not in a physical capacity).
The king's woman: At the beginning she's a badass fighter and throughout the drama saves his life a few times. But he's good at fighting too.
Wild romance: she becomes his bodyguard. *