First sports memory, I would guess early Ray Borque Boston Bruins Hockey, especially when they played the Whalers. My father paid to get NESN and Sports Channel New England (now CSN New England) during their premium days, so I got to see both the Bruins and Whalers games. My father and I were Bruins fans and I would get ridiculed when I watched the Whalers.
However, the first profound memory is the 86 World Series. I was woken up to see the Sox win, then Buckner happened. I ended up calling up my parents in 04 and waking them up to finally share the moment, only 18 years later.