Since a few days, a new image upload is being tested on Meta, adding support for paste and drag-and-drop:

![New image upload dialog][1]

However, this does not support direct paste or drag-and-drop into the edit page; one first needs to click the "Image" button (Ctrl+G) to show the upload dialog.

In June 2015, this new dialog was implemented:

![Newer image upload dialog][2]

  [1]: https://i.sstatic.net/Htpen.png
  [2]: https://i.sstatic.net/qag6h.png