#9 Jim Cornette and Kenny Omega
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This is an unusual feud in that the two men haven't been in the same room with each other.
Kenny Omega is perhaps the most celebrated talent of this generation. His match against Okada at Wrestle Kingdom put New Japan back onto the wrestling fandom radar, and nearly everyone praises his hard work, technical skills, and fearlessness.
Almost everyone, because there's one man who can't stand Kenny Omega; Jim Cornette. The famous manager and promoter has been enraged at Omega's burgeoning popularity because, in his mind, Omega doesn't take the wrestling business seriously enough.
Before the days of the internet, most wrestling fans knew that the sport was fake but the wrestlers never admitted it. The talent was expected to defend--violently--the sanctity of the sport when it was called into question. This is the attitude that led to Meng/Haku biting the nose off of an unruly fan who called him a 'fake wrestler.'
Times have changed, and it's common knowledge that wrestling is a performance. However, Cornette seems to think the genie can be put back into the bottle and kayfabe will somehow make a comeback if only people like Kenny Omega would just disappear.
For his part, Omega seems amused by Cornette's vendetta against him and says he bears Jim no ill will.