Recommended Mods

 
Engine

Morrowind Code Patch (MCP) - Hrnchamd
https://www.nexusmods.com/morrowind/mods/19510/?
Modifies Morrowind's exe to fix bugs and optimize things.

OpenMW - OpenMW team
https://openmw.org/en/
An opensource engine replacer for Morrowind, fixing many bugs with Morrowind's engine. Incompatible with mods that edit Morrowind's exe (MCP, MWSE, MGE XE). OpenMW allows for better performance of Tamriel Rebuilt on modern hardware.

 
Bug fixes

Morrowind Patch Project
http://en.uesp.net/wiki/Tes3Mod:Morrowind_Patch_Project
Incompatible with Patch for Purists
"Fixes almost all of the bugs and problems with Morrowind and its expansions. While the official patches by Bethesda only fixed a couple of dozen bugs, this patch fixes several hundred. The goal of this patch is to make the game completely bug-free."

Patch for Purists
https://www.nexusmods.com/morrowind/mods/45096/?
Incompatible with Morrowind Patch Project
"Patch for Purists strives to be a all-in-one patcher for everything in the The Elder Scrolls III: Morrowind Game of the Year Edition that is considerd a bug."

 
Essentials  

Delayed Dark Brotherhood attack - Kir
https://www.nexusmods.com/morrowind/mods/14891/?
"Based on original Avenger's Delayed DB Attack, this mod makes Dark Brotherhood assassins only attack player in his sleep after he reached some significant point in the main MW plot (and accordingly, decent level)."

 
Miscellaneous

MGE XE - Hrnchamd
https://www.nexusmods.com/morrowind/mods/41102/?
"Allows Morrowind to render distant views, scenery shadows, high quality shaders, UI scaling and other features." Works with the original engine, so can be combined with the Morrowind Code Patch but will not work with OpenMW.

Anthology Solstheim - Anonytroll (Atrayonis)
https://www.nexusmods.com/morrowind/mods/43436/?
This mod simply moves Solstheim to a lore friendly position, away from TR's Baan Malur. Not compatible with most Solstheim mods.

Better Dialogue Font - Hrnchamd
https://www.nexusmods.com/morrowind/mods/36873/?
This mod makes Morrowind's font clearer without changing the font size.

Graphic Herbalism - ManaUser
https://www.nexusmods.com/morrowind/mods/43140/?
"It changes the way you pick plants (and some other ingredients) in the game. Instead of treating them like containers, which you must "open" to take items from it, they are more like activators - you simply activate the plant you want to harvest."

Graphic Herbalism Addons - Anonytroll (Atrayonis)
https://www.nexusmods.com/morrowind/mods/43829/?
You must have Graphic Herbalism installed for this mod to work!
An addon to be used with Graphic Herbalism, which allows the same functionality for containers present in Tamriel_Data.