Hard to decide overall, but by decade it's oddly clear cut for me:
80s: Flair
90s: Hart
2000s: Angle
2010s: Bryan
I think that is a pretty good break down. Couple of guys that come close for me though.
He who can not be named in the 2000s (his match with Angle at X7 is still awesome), maybe Eddie as well.
2010s Punk is close to DB for me.
90s its Brett. I was and still am a bigger fan of Shawn, but if we are talking about just pure wrestling/in ring psychology and story telling, than we are talking about Hart all day. Shawn was just better at being an overall showman.
80s its definitely Flair but honorable mention to the Macho Man. I wish they got a full program while Flair was in WWF. Mania match was great but that feud wasn't over.