I've always been fascinated by Prince Imrahil and the Knights of Dol Amroth. I'd like to learn a lot more about them. Pity JRR never developed them as much as the Rohirrim.

And I'd love to read a long story describing all the adventures of Earendil the Mariner.

Oh, and the last struggle of Beren and his band in Dorthonion really speaks to me, too.

I could name half a dozen more minor characters that grab my attention, but those three are my top choices outside of the Fellowship.

For members of the Fellowship, I'm not even going to try to pick a favorite. Every one of them appeals to me at some point in the story.