I'm afraid with the 32 bit bit your're wrong, the 386 was released in 1985, and the Compaq Deskpro 386 was in 1986, so 32 bit Intel PCs were available before the Archimedes (of course 386+ PCs weren't common for a few years after that).
The Archimedes was way sexier: it booted straight into a GUI and also had BASIC in ROM.
You may be confusing the operating system with the processors. Windows 3.x and earlier were 16-bit operating systems that were run on PCs well into the 32-bit era. Windows for Workgroups 3.11 was, I believe, the first full 32-bit version of Windows. 32-bit Windows only became widespread, at least amongst consumers, with the release of Windows 95.