Just As I Am is very sweet. I was a little surprised you posted a modern hymn and glad you did.
Modern hymn-wise, I'd say Thy Word by Amy Grant. I think that would classify as a hymn, you think? I wish churches would include it in their worship services, whether praise music or hymns, but I've never seen it done. Curious thing.
From the traditional hymns, I think Oh Holy Night is the best composition I've ever heard and my fav.