Given the wealth of rings that you have to choose from, I know it's tough. Still, there are a lot of great options:

It really is something to look back at the old rings, and see how less gaudy they were. The 1932 championship ring is unique. I can't say that I've ever seen another ring quite like it.
The ring that's missing from that list, of course, is the 27th one:

While gaudy, I love how easily it communicates what it is; an expression of Yankee dominance.
So, what's your favorite ring?