Part of my job here in Vancouver is to check out new restaurants and see what is good and what isn't, so i'll recommend you some places to eat:
Lumiere's is great. It will cost you, but it's world class cuisine. West Restaurant is another superb high end restaurant. As is The Pear Tree, but it's out in Burnaby.
I can recommend Tojo's as well. I've been there dozens of times... Letting Tojo make your meal is the way to go... but if you don't want that make sure to order Tojo's Tuna. It's life changing.
Other restaurants I can recommend:
Gastropod and
Fuel (right beside eachother on 4th Ave (at Cypress)). Very good and I would say underpriced. The chef at Gastropod used to work at
The Fat Duck in England while the Chef at Fuel worked at
French Laundry in California.
Il Giardino is great for Italian, while The Sandbar on Grandville Island (which you should go anyway) is great for Seafood. Blue Water Cafe and raw bar has superb sushi (I would say second to Tojo's in the city) as well as other non Japanese cuisine.
Although I haven't eaten there, i've heard nothing but good things from the Italian restaurant at the RiverRock Casino. I can't even remember what it's called... it starts with a T though.
Other people have recommened Joe Fortes. It's a long time favourite.. great oysters.
For entertainment: Check out who playing in town. We have some great shows coming in this month. If you can catch a show at The Commodore, I highly recommend you do that.
People have mentioned Robson Street for people watching. While there are a couple of cool shops on Robson (El Kartel to name one), it's mostly just for shopping for stuff like Tommy Hilfiger and Levie's. Not that there's anything wrong with that, it's just is what it is. For food on Robson: Try TapasTree at the far west end (at Denman) or Hapa Izakaya (near Jervis). Joe Fortes is there too, and has already been mentioned. If you want to sit and actually watch people who are more entertaining, head over to Commercial Drive (our version of Little Italy, only it got caught up in the Hippie Era), grab a espresso and watch it all fly by.