Any equivalent to Genius Shuffle on iOS - either an app or shortcut?

Auto play!

See the “auto play mode” heading here: What's new in the Apple Music app for iOS 14: Listen Now tab, endless autoplay, iPad redesign - 9to5Mac

It’s not quite the same as you can’t create/save playlists, but the way it chooses music reminds me of the old Genius mode.

And yes, I miss it on iOS too.