The Melting Pot- fondue has always been hip! Check it out for dinner: 14 Mercer Street
I have also heard great things about Toulouse Petit Kitchen & Lounge. Check out their website to view the menu, they have great happy hour prices! 601 Queen Anne Avenue North
A personal favorite, and open 9a.m. to 2 a.m. wonderful Mexican American food with a Northwest flair: Peso's Kitchen and Lounge located at 605 Queen Anne Avenue North
More coastal style Mexican food can be found at Blue Water Taco Grill 515 Queen Anne Avenue North
Racha Noodles and Thai Cuisine is a winner too! 23 Mercer Street
Shiki Japanese Restaurant 4 W Roy St, will get your your Sushi fix. You can find reviews on Urbanspoon and Yelp.
A Seattle institution: Dick's Drive In (not vegetarian friendly) 500 Queen Anne Avenue North
Mecca Cafe is your classic American diner food (and some may call a dive bar)... 526 Queen Anne Avenue North... reviews are on Yelp and Urbanspoon.
Get some BBQ at Floyd's Place located at 521 1st Avenue North- again reviews on Yelp and Urbanspoon.
Finally, you can also check out the chic Metropolitan Market (or Safeway Grocery Store) and get some yummy noms to take to a park (might I suggest Kerry Park, about a half mile from the hotels?). Met Market is at 100 Mercer Street
There are lots of places to eat around there, but this is a list to get you started!