I don't remember the game, but most "memorable" for me, as a kid.... I was a big Don Mattingly fan. My Dad got tickets for a Yankees/Sox game at the old park. I waited in line for what seemed like an eternity during Yankees BP for an autograph, but the only Yankee that was signing was Jack Clark. So I had to settle for that.
In terms of "Sox history" - probably 2006 opening day and surviving that rain delay and knowing "Jon Miller probably lost his shit on that Thome homer"