In terms of international events, I think the first thing I remember is the World Cup of 98 (edit: but if we are talking about sports-events, I'm pretty sure I have vague memories of euros 96, if not even world cup of 94 as well, but not in a very clear certain way). For some reason I have a vivid memory of going to McDonalds and it being all world cup themed before it was apparent that Norway would do well, and then later being at my grandparents boat when Norway beat Brazil to go to the quarter finals and seeing people on shore launching fireworks. Other than that I obviously have much earlier memories being born in 89, but I can't think of any international events. The first year I remember being aware of it being was 96 at 7 years old probably from learning at school and commiting it to memory. I also have some very vivid memories of the progress of the day of 9/11 and the day after, as well as the millennium new years eve and everything that came with that, but I feel like all this is pretty late for being "early memories", 9/11 was just half a year before I joined CFC after all.
To me it seems the mid-late-90's were a bit lacking in "life-memory" events. I guess there is the death of Princess Diana, but I don't really remember that as an event, rather than just vaguely the long aftermath.