This question is a bit general. Are you interested in political happenings? World events? Pop culture? Here are a few things that may get you started:
1996- Nintendo 64 is released; ValuJet crash in Florida Everglades; Michael Johnson becomes the fastest man in the world at the Summer Olympics; Bill Clinton wins his second term as President; Jon'Benet Ramsey murdered in the basement of her family home; Dolly the Sheep is the first cloned animal.
2000- Y2K millennium bug; Presidential Election Disaster!!! Confusion over which candidate won the State of Florida caused a recount that lasted for weeks; Elian Gonzalez; Hillary Clinton is elected to the United States Senate and becomes the first First Lady to be elected to public office.
2001-Terrorist attacks on the World Trade Center and U.S. Pentagon; Anthrax; President George W. Bush signs the US Patriot Act into law; Enron; R&B singer Aaliyah dies in a plane crash;
2005- YouTube makes its on-line debut; Pope John Paul II dies; Lance Armstrong wins 7th straight Tour de France; The most active hurricane season in years: Dennis, Rita, Katrina, Wilma