New York City: How Not to Eat Like A Tourist?

Ive been working in NYC a few months and haven't had time to fully explore the city's intimidatingly vast dining options. My family is coming from out of town, and we want some places to eat that aren't tourist traps. Perhaps one night Italian (to make things simple), one night not so typical (more exotic, but something to satisfy a wide variety of tastes). Know any places with a great menu, fair prices, family atmosphere, and interesting locale (beyond the tourist oriented areas)?