Oh, I love the stew scene. It's possibly my favorite added scene in any of the extended editions. I guess it doesn't take much to please me.
The ensuing conversation between Aragorn and Eowyn is great, watching the shock on her face as she finds out how old he really is. Here's a tidbit, a very small mistake that the filmmakers made. They almost got it right, but...
From The Encyclopedia of Arda (
http://www.glyphweb.com/arda/default.asp):
The Extended Edition of the movie includes a scene revealing that Aragorn is eighty-seven years old, and served with Théoden's father Thengel decades before. Though there's no directly equivalent scene in the book, Aragorn did indeed live this long (the royal line of the Dúnedain had exceptionally long lives). To be precise, the movie gets his age very slightly wrong: Aragorn was born on 1 March III 2931, so the day he met Gandalf in Fangorn Forest (1 March III 3019) was his eighty-eighth birthday. He reveals his age to Éowyn just a few days after this, so he should really have told her he was eighty-eight, not eighty-seven.