Anything from the mid 90s onwards so various IRA bombings, Dunblane etc.
Although I certainly remember being a kid at the time with school memories and whatnot, I was bit too young to remember the Bulger killings, certainly too young for Freddie Mercury's death as I wasn't "news conscious" then or aware of world affairs.
John Major was the first prime minister I remember though, I was doing my year 6 SATS at the time Blair won his landslide majority, my primary school got the day off that day as it was used as a polling station.