Good question, wrong forum. This should be in Novices and Newcomers, but it'll get moved and it's all right.
Here's a thread that is similar, but not the same.
As for me, I think it's too hard to pick a favorite, but I'll narrow it down to these (rather long though): The Shadow of the Past, Three Is Company, A Shortcut to Mushrooms, A Conspiracy Unmasked, The Old Forest, In the House of Tom Bombadil, Fog on the Barrow-Downs, At the Sign of the Prancing Pony, Strider, Treebeard, Of Herbs and Stewed Rabbit, The Window on the West, The Forbidden Pool, and The Stairs of Cirith Ungol.