I'll always remember WinZip for its "this program is shareware" popup that always moved the "OK" button around, so you couldn't always just click the bottom-right button or whatever. Still, the last time I used WinZip on my own personal computer was when the shareware came pre-installed on a Compaq laptop 10 years ago (yeah Windows ME!).
I worked at a company 5 years ago that still used WinZip internally, but like Winzip 6, it couldn't even handle more than 65535 files in a single archive. I guess the company couldn't be bothered to upgrade their site license to a recent version. My current employer offers WinZip 14.5, but we have to request a license, and I see no reason to involve my VP just to zip/unzip files.
Paid compression utilities have no place on an average computer anymore (though corporate PCs might still be a different matter for legal reasons).