Looking for a restaurant suggestion around Rockefeller Center in New York?

I can’t believe I am asking a question about New York City after all the times I’ve been there.

I’m looking for a restaurant relatively close to Rockefeller Center. Ideally the place would be intimate, maybe a bit cozy, maybe a bit romantic, but not super expensive, fancy, hoity-toity, or exotically-ethnic (my boyfriend’s tastebuds register nothing more exciting than Italian, possibly Mexican). I’m taking him to see the tree when he visits this December, and I’d like to have a nice dinner while we’re there, but not somewhere that I’d have to worry about a dress code, or a tourist trap.