I should've been more specific. That's my bad.
What I mean by, "
What is MODERN baseball's equivalent to OBJ's catch?" is what play in baseball has happened that has caused numerous vines, debates of it being the best ever, Sports Science specials, super slow-motion analysis, Youtube imitations, multiple page threads on The Coli, etc.
When Andre Iguodala did the dunk contest and did this....
...I worked at my school's fitness center and the next day, Willie Green came to campus to visit and do some rehab. For hours after they were done with drills, him, the strength coaches, and a few player were trying over and over again to imitate that dunk.
On the playground, every kid had their tongue out trying to recreate Jordan's last shot or had their compression sleeves & headband, trying the Iverson crossover (and Iverson crossover 2.0

)
Baseball has a few cool plays like that spiderman wall grab in the Japanese leagues and a diving catch here and there, but kids aren't going "Did you see Puig last night? I'm trying that when we get outside, breh."