Crate and Barrel's brand is ranked #- in the list of Global Top 1000 Brands, as rated by customers of Crate and Barrel. Williams-Sonoma's brand is ranked #- in the list of Global Top 1000 Brands, as rated by customers of Williams-Sonoma. Their current market cap is $13.87B. ... Crate and Barrel vs Williams-Sonoma. 30%Promoters 18%Passive 52%Detractors