Why can’t Madara use Amaterasu or Kamui? From what I've known, Madara was a legendary leader of the Uchiha clan. So, there are chances that he knew all types of techniques in terms of his eyes. His Kekkai Genkai includes:


Sharingan
Eternal Mangekyō Sharingan
Rinnegan
Wood Release
Storm Release


So, I wonder why couldn’t Madara use Amaterasu or Kamui?
Madara can't use Kamui, because that was Obito Uchiha's Mangekyou Sharingan ability, used by Kakashi after the transplant (after part I). He could only use it because he took Kakashi's Sharingan and used it to access Obito's pocket dimension to retrieve the Rinnegan.


Itachi - Tsukuyomi, Amaterasu, Susanoo
Sasuke - Blaze Release: Kagutsuchi, Amaterasu, Susanoo
Obito - Kamui, Susanoo
Madara - Susanoo
Izuna - Not mentioned in the series
Shisui -  Kotoamatsukami, Susanoo
Indra - Susanoo, Amaterasu


Madara can't use Amaterasu, because in my opinion, it's an ability that only runs in Sasuke and Itachi's family, seeing as they were the only ones to show this ability in the series.

All Mangekyou Sharingan users can use the Izanagi and Izanami ability.