Two that come to mind: Microsoft's "Seller dashboard" for managing Office 365 extensions, and Google's "Cloud Platform" console for managing their services. Also, Apple's "iTunesConnect" is pretty glitchy unless you use Safari (and probably Chrome too). I guess you can see a clear reason why each of those pages behaves like so :).
Edit to add that I prefer Firefox in general for philosophical and practical reasons: I'm used to the dev tools and have a hard time navigating the Chrome/Safari alternatives, not to mention Edge/Explorer.