The two borderline exceptions are Lorkhan and Akatosh. Lorkhan isn't exactly an Aedra or a Daedra so much as just a primal force for change. In a lot of ways, he's more like the direct manifestation of Padomay than anything else--he's not aligned with Padomay so much as he figuratively is Padomay. Akatosh, for his part, is definitely an Aedra, but he didn't quite share the "death" of the other Aedra during the creation of Mundus, given that he willingly flung his entire spirit into Mundus and infused the entirety of the physical plane with his essence. This explains why, despite being an Aedric spirit and therefore not able to regularly manifest in any direct sense like the Daedric Princes can, Akatosh is still much more powerful than the other Aedric spirits. He literally is Mundus--he binds it together, stabilizes it, and as long as it exists, he exists. It's sort of like how various people in the Shivering Isles mention that "Sheogorath is the Realm"...for his part, Akatosh is Mundus, the embodiment of its structure, stability, and vital essence.
...Ye gods, this all sounds horribly dorky.
Thanks for that.
I would like to ask though, how can Lorkhan be Padomay, if Anu killed Padomay?
It was Padomays death, and the spilling of his blood which seen the Birth of the Daedroth.