I’m unsure how you came up with those dimensions. Websites rarely have a specified depth; they’re typically as long as they need to be.
As for widths, most all current websites are responsive in the sense that the way the information is displayed (and sometimes the information itself) depends on the width of the user’s browser window. I just finished a site with a responsive design with several standards widths and a rather fluid arrangement of elements within each of those widths.
1200 pixels and over (large desktop)
960 to 1999 pixels (standard desktop)
767 to 959 pixels (tablets and larger phones)
767 pixels and below (phone and smaller tablets)
And a special category for small phones in the 480px range
Those aren’t necessarily standard sizes, though, but they’re sort of somewhere around average since they more or less accommodate most every device. I think it really all depends on the nature of the site, what’s required for that site and whatever underlying base template or framework might have been used.