LibreOffice
LibreOffice may not have an Outline mode as such, but it does have a nice Navigator tool, basically navigable lists of Headings, Tables, Images, Sections, etc. etc. You can use it to drag-and-drop copies of stuff in the main text, but not to simply move stuff around. Even so, the times I miss Outline view are few and far between these days.
What I really miss is the old Tags-On (semi-WYSIWYG) view when banging down HTML, as in HoTMetaL Pro and Seamonkey.