Here's a one day car route that I do all the time.

Start at the Uni of BC, check out the Japanese gardens and the Museum of Anthropology (the best & prob the only museum worth seeing in Vcr).

Drive into Kitsilano down 4th avenue stopping at the boutique shops if you like.

Turn down to Cornwall and drive along the beach. A great spot to eat lunch.

Drive across the Burrard Bridge into downtown swing down Robson Street and through Gastown. Stop at the steam clock and also in Chinatown.

Continue to Stanley Park. Here you can see the aquarium and walk the boardwalk.

If you have time / or late at night drive to Grouse Mountain. Best place to dine Stanley Park or on the mtn to see the views, if it's not raining.

Enjoy!