There's actually a lot out there. Probably depends on your mood and the genre that would appeal to you.
Lighter tone: Be With You (2004)
Lighter tone: Speedy Scandal (2008)
Darker tone: Diary of June (2005)
Darker tone: 10 Billion (2009)
The only thing is, though they don't involve illness, death is a corollary part of the movie, except for the 2nd one :) And I guess most of life's important messages become glaringly apparent when you flip the coin, and you're face with the other side of it (death) dunno if you would agree though :p and it's all highly dependent on what you would consider important life messages...