Little early for me, but Hagler and Tyson were big ones in my house. Hagler vs Hearns was the first fight I bet on through my dad. He was on the phone with his bookie I guess, and they asked who I thought was going to win, and in my 5 year old mind it was going to be Hagler and Hagler was bald, and bald guys were tougher. They got a laugh from that.
Tyson, I remember the universal exhilaration at how quick and vicious he was beating guys up, and the bitching about how short his fights were after you paid HBO / Cable the $30 - 40 for the pay-per-view.
Frazier was another. His career was more or less over by the 80's, but I remember my dad having the Ali and Frazier series on tape, and him putting them on for me sometimes. Even when I was very young, I liked and respected the fact that Frazier never forgave Ali, even though I didn't know all the ins and outs of those battles till I was much older.