The Shire - Because it's iconic and because it's The Shire. For a lore maven like myself, entering The Shire, seeing it appear close to how I've imagined it, and realizing that it matched the books so closely that I knew how to get anywhere without consulting a map, that was a beautiful experience.
Rivendell - The first time you cross over Cirith Imladris, especially after a harrowing run up from the Fords of Bruinen, when the landscape music swells, your hope level shoots up, and the entire valley appears before you, is the most beautiful sight in LOTRO. I take new alts on that run just for the effect.
Moria - Go in. Big entry hall, just like Thorins gate. Bizarre twisty passages leading to Dolven view, then, what a view!
Cener, Ingo, Rilibald, Hesred, Halras, Loringo
Arkenstone (ex-Elendilmir) - The Osgiliath Guard