It's Okay, That's Love mostly around episode 13 or 14 I think.
Jealousy Incarnate Towards the end (maybe episode 20 or 21), he's not sick but very depressed and she cheers him up with care.
Kill Me, Heal Me They meet in the ER and she's the doc. Then they enter a doctor-patient relationship in which she takes care of him multiple times while also falling for each other.
My Girlfriend is an Alien Don't remember the episode but he's in the hospital and she spends the night and cheers him up with alien "magic". Very beautiful scene.
Protect the Boss He's a man-child and she's a glorified nanny. But there are a few times when she has to take care of him because he's in distress/almost faints.