ODB. 
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Because I don't follow the sport enough: Does ODB have the best one-handed catch in NFL history?
yes.
x2
and every year since, someone will do something insanely impressive & people will attempt to compare it to ODB's catch, but it's never on that level.
http://www.youtube.com/watch?v=zxbz3DDQzHU
the main announcer freaking out (Cris Colinsworth) is a former NFL wide receiver like Beckham.

The delayed reaction was basically my reaction .. seeing the initial catch felt like a life glitch - what just happened? how'd that happen? then you see the various slow motion angles and it was jaw dropping.

There's been some other ridiculous catches, especially in the super bowl. But the "impossibility" of that catch is just incredible IMHO.
pC