Are there any differences between Skyrim & Skyrim: Special Edition?

What are the major differences between Skyrim and Skyrim: Special Edition? I'm looking to understand all of the signficant changes between Skyrim and Skyrim: SE; not just whether or not a few quests have been changed or not.

Specifically looking for:

• Graphical improvements?
• Gameplay improvements?
• Performance improvements?
• Mechanic impromvements?
• Modding improvements?

Mechanics

• Save games are now sorted by character, Fallout 4-esque

Graphics

• Supports 64-bit render targets by switching from 32-bit to 64-bit
• Options to enable God Rays, Snow Shaders, Lens Flares
• Supports Direct X 11

Modding

• Console versions now fully support Mods