#2 Shinya Aoki
Shinya Aoki may very well be one of the biggest names in Mixed Martial Arts history to have never competed in the UFC. Aoki has always been regarded by the vast majority of combat sports fans and experts as one of the most skilled fighters to have ever graced the MMA ring/cage.
The Japanese legend presently competes in ONE FC as well as Rizin FF and has held the Dream Lightweight Title and the One Lightweight Championship. He has also held the Shooto Welterweight Title. Moreover, Aoki is a highly regarded grappler as well, earning several honours all across the world, including an ADCC Japan Championship.
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Aoki is now 35 years of age, and the probability of him signing with the UFC doesn't really seem too high at the moment. However, it's indeed noteworthy that Aoki's body of work outside the UFC has ensured that his MMA legacy is secure nonetheless...