The "mini" Windows 3.1 it came with was pretty much fully functional though, you could literally boot directly into PROGMAN.EXE as the main Windows 95 shell.
Program Manager is a shell and was actually included in Windows all the way through XP SP2 when it was phased out. You can probably run it in Windows Vista through 10 if you copy the .exe over, too.
Unfortunately not, I just tried running the copy included with Windows XP SP1 on Windows 11—it relies on SheRemoveQuotesW which was removed from Shell32 in Windows Vista. (It doesn't seem to be able to use a copy of a Windows-XP-sourced shell32.dll from the working directory, either).