Care to elaborate further
The Byakugan's analytical skills are superior than the Sharingan based on the fact that it can actually perceive the chakra points within the human body as well as the fact that its vision can actually penetrate through solid objects which is something the Sharingan doesn't possess.
The Byakugan itself is also superior to the 2T Sharingan because both grants greater perception, but the Byakugan provides the user superior Taijutsu ability in comparison the Sharingan and also has 360 degree vision which enables it to pick up on multiple attacks in various different directions in comparison to the Sharingan. You could also say that because you have enhanced perception outside of your LoS as opposed to the Sharingan (in general) that it makes evading wide-spread attacks such as Sasori's Satetsu much easier as you're able to witness the Sand attacking from all directions all at once as opposed to the Sharingan which is not capable of doing that.
The 3T Sharingan is superior in some aspects due to its Genjutsu prowess and Precognition, but it still lacks the Byakugan's analytical skills and 360 degree vision. In most cases, I would favor the 3T Sharingan whereas in other cases such as when you're up against wide-spread attacks such as Shino's bugs or Sasori's Satetsu, I'd actually favor the Byakugan.
Mangekyo is clearly on a different level based on the haxed abilities it provides to the user. Amaterasu for instance, would one-shot a lot of Kage level ninja and Kotoamatsukami is absolutely dangerous in the eyes of almost every elite shinobi.
