Vancouver recs near Sheraton (on Burrard)
For seafood, there is Joe Fortes on Robson and Thurlow (about a 10 minute walk from your hotel). It has an oyster bar and a good seafood menu. Also, there is Rodney's Oyster House in Yaletown (15 minute walk).
For Asian, there is so many to choose from. You may want to try the Guu restaurants. There are two on Robson. Japanese style tapas. For inexpensive Chines, there is Hon's on Robson as well.