or just, I don't know, kill a guard?
with the taunt function, you could get away with it for free to boot
The Ebony mail is a good example for Morrowind. You have to do the Pilgrimage of the Four Corners of the House of Troubles. You can do it without joining the temple, but you have to go into some Daedric ruins and deal with some agressive orcs.
I understand Glass though. You could steal some from Ghostgate a any level.
But for Daedric, you either killed Fyr or trekked all over the place... A Sixth House Base, Kastle Karstaag, and that awesome place under Mournhold...
I really like to remember Morrowind.