It's hard to beat dinner at a nice place. Nice food and a bottle of red wine. And then maybe a few drinks after at a classy bar. Make sure both the restaurant and the bar are places she's never been before or doesn't know about. Ask around.
I don't think I've ever gone wrong doing that. Make sure you pay for everything, and like it's not a big deal. Well at least pay for dinner, anyway if she's not a whore she'll usually offer to pay for a couple of drinks afterwards.
Is it burnin'? Well, f-ck, now you're learnin'.