Jasmine is a great companion mod. I also like Constance, the thief companion. Morrowind Rebirth of course.
Morrowind Texture Pack - MWTP. I prefer this one. Easy install with no conflicts or problems.
Morrowind comes Alive.
Those are the main one's for me. I have gobs more on it.
MadyNora: I can wholeheartedly recommend
Julan, Ashlander Companion.
An ashlander companion. He is very well written and feels like an actual friend and true companion, instead of just a "random guy following you".
He has thousands of dialogue lines. He will comment on the weather, the place you're at, the quests you're doing, your armor, books you're carrying, some other mods you have installed, everything.
He never gets stuck in the eviroment, because if he does get stuck somewhere, he will "teleport" after you. He can levitate, use teleport spells, breath in- and walk on water.
He can be found at Ghostgate, getting his ass kicked by three clannfears. Save him, and even though at first he will be rude as hell, he will eventually ask you to train him. If you allow him to tag along, he will drag you into his own crazy adventure. His personal quest is
strongly tied to the main quest. You can no longer recruit him once you have completed the quest "Vivec informant". The main quest itself is untouched, but Julan gives a whole new "perspective" of it. :)
Warning: His good behavoiur is not granted. He
will get drunk, laugh at your choice of attire, and be rude and secretive with you at first.... but he will slowly open up, and gradually gets more friendly as his quest and the main quest progresses.
Seriously, he has a boatload of features, quests, dialogues etc, so if you're starting Morrwind again and feel lonely, grab him.
Personally, I can't play without him anymore :)
http://lovkullen.net/Emma/Kateri.htm I have him too ,but I was too far in the main quest to be able to use him.