The standard HTML drag and drop API is a disgusting mess, as one would expect from modern standards. But here modern programmers have managed to reach a new low. This API doesn't work at all on mobile, making it completely useless.
There are a number of third party JavaScript drag and drop libraries like interact.js and Draggabilly. Of course these don't work, since they are modern code. interact.js is the least bad of them, but its drop functionality breaks if you modify the DOM.
Writing a decent JavaScript drag and drop library shouldn't be hard for a reactionary programmer. And I would use it for a number of projects.