The Byakugan is much better because the Sharingan was derived from the Byakugan. That means the Sharingan was CREATED from the Byakugan. Just because the Byakugan can see chakra points, and the Sharingan has heightened skills or abilities, the Byakugan is still better, without the Byakugan, there is no Sharingan.
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Sharingan reads their enemy moves and sharingan has more stages and goes up to eternal sharingan ( if u ask what is eternal sharingan is i tell u ) eternal sharigan is the last stage so i dont want to go any farther now the sharingan can do genjutsu, able to copy, and be able to Dodge it depends next is byakugan a little same as sharingan but they can see peoples chakara and where to hit them so i say that sharingan is the best.
No only the Byakugan
Eye
The Byakugan, the Sharingan and the Rinnegan.
The Sharingan is way more better.Sharingan:The Sharingan has a lot of stages like the Dojutsus which has 3 stages. After the 3rd Dojutsu (The one Itachi always use in a normal condition), The next one is the Mangekyou Sharingan, used by Madara, Sasuke and Itachi. There are other versions of the Sharingan like Kakashi's sharingan in Shippuuden and Sasuke's sharingan in the naruto manga chapter 408. The sharingan can see others moves before the opponent does it, mentally hurt the foe with genjutsu and make illusions or decieve the foe with a better jutsu. Byakugan:The Byakugan was inherited from the clan of the Hyuuga. The Byakugan has white eyes (like Neji and Hinata's) and the veins near the eyes can be seen. The Byakugan makes the user faster and it can be used to block the opponents chakra. The Byakugan can also be used to look for incoming attacks and ambush, "Read" the eyes of another ninja and can see how much chakra another ninja has.
Even though the Byakugan is a powerful doujutsu, the Sharingan is superior to it. In addition to giving enhanced sight, you gain the ability to copy any jutsu just by seeing it. Plus, you can use genjutsu with it, not to mention the powerful Mangekyou Sharingan.