The only options I've found til a fix:

Videos:

Use WorkSpaces Activate PIP on the Videos Move back to the working WorkSpace

To use a WorkSpace just for Video Sites helps for an easy management

Music:

Go to Opera://Flags Activate Custom SideBar Panels Add the Music Sites to the SideBar

Or the same steps as Videos

--

For Social Networks you can use FullScreen or use them on SideBar since isn't affected by Animated Media Icon.

Agreed, it's a necessary feature to have.