Very similar to the US, and the CA$ is weaker so you get more for your £ here.
We have all the big US stores - Nordstrom, Bed, Bath & Beyond, Saks Fifth Avenue, Sephora, Williams Sonoma, Apple etc. and the usual clothes stores - Gap, Banana Republic, Victoria's Secret, American Eagle, Urban Outfitters, Abercrombie & Fitch, H&M etc. Plus Canadian stores/brands - Hudson's Bay, Chapters Indigo (amazing bookstores), Lululemon, and a lot of outdoors stores - MEC, Icebreaker, Patagonia, Arc'teryx, Fjallraven, Atmosphere etc. The Chinook Centre has quite a few high-end stores - Tiffany, Canada Goose, Louis Vuitton, Hugo Boss, Burberry, Armani, Kate Spade, Michael Kors etc.
There are lots of interesting independent shops in the Inglewood and Kensington neighbourhoods, everything from clothes to spices to records to $800 hand-made Japanese kitchen knives.