Aurora Ave is classic, but there are as many or more nice options along Greenwood.
Bick's (10555 Greenwood) is a cozy place for good comfort food. Manna Smoked BBQ (10410 Holman Rd) is very fine BBQ -- you won't believe it from all outward appearances, but trust me on this one. 74th Street Alehouse (74th & Greenwood) is basically the first gastropub in Seattle, and has some of the city's best soups du jour (along with excellent salmon and chicken sandwiches). Carmelita (7314 Greenwood) is one of the better vegetarian restaurants in the city and has some fine cocktails to boot. If you're in the mood for fine, small plates and a good craft cocktail, Oliver's Twist (6822 Greenwood) is very nice.
Finally, The Baranof (8549 Greenwood) is not particularly recommended for its food, but it is an epic neighborhood dive and has a small part in Seattle gastronomic history as the former location of Marie's, source of the still popular Marie's salad dressings.