I always recommend Santangelos in Liverpool to out of town guest if you're trying to get away from campus but within 15-20 minutes. Great Italian food with other dishes. They have a bar as does most of the restaurants. Also others not mentioned yet.
Dinosaur BBQ - in Syracuse a must go to place but it'll be crowded with a long wait after the game if you don't mind waiting.
Pastabilities - downtown, will also be crowded.
The Chop House - Waring Rd, southeast side of the city
Lemon grass - downtown. thai food and steaks.
Texas de Brazil - in Destiny USA mall. Kinda expensive but all you can eat meats, salads and fixings.
Delmonicos Italian steakhouse - east side of city.
Nick and Angelos - Liverpool north of the city
Basil Leaf - north of the city and a personal favorite
Coppertop - if you're looking for a more casual setting but it can be crowded. one west of the city and one north.