eyes here are like tools and depend on the wielder ..... Itachi , kakashi and Sasuke made sharingan look great. this is same for Neji , but hinata who belongs to the same clan ..... is not even half as skilled as Neji .
So the point of this post was to bash Hinata?! As I would say it's natural to understand that an individual with natural talent can make an eye technique look stronger....but Hinata's eyes are actually pretty strong...she could see 10 Kilometers. And has even developed a unique gentle fist move...She didn't have the natural combat talent as Neji and on top of that she had a gentle personality to further hinder it.
Anyways...each eye has special traits.
Rinnegan: These eyes seem to be best for taking on a large force of enemies as itsabilitiespresent itself as a small army. Such an individual becomes a master of life and death on top of this....Death incarnate as a one man army. And yet has the power to repent and return life.
Sharingan: these eyes are best suited for one on one. The powerful techniques present ultimate levels of offense and defense. The genjutsu abilities make it best as an anti enemy. The darker one is, the more power one gains....mixing in this genjutsu for the greatest levels of deceit (as betraying one's loved one's also is).
Byakugan: Eyes of the shinobi. One gains the foresight to locate and perceive enemies at all ranges, sizes, and directions . It gives one the ability to apply this knowledge to amplify stealth and give one insight into upcoming attack methods or alertness of an adversary.
I'd say after reading about their individual abilities...you can probably add more to what I have placed.