"Chronologies" or "timelines" place historical events in a list based on the order in which when they happened. Chronologies are great for identifying an event or social condition that occurred on a certain date or within a certain time period.
Another quick way to find out about a couple of things which occurred on your birthdate is to search for your birthdate with Google or another search engine. This is a rather hit-or-miss method to search, since what you find on the Web is only whatever someone happens to have put there, but you might be surprised at what you find.
For example, here's a Google search for "June 10, 1991" . (Be sure to include the quotation marks " " around the date.)
This page offers some tools which will help you find out what was going on in the world into which you were born. The tools include newspapers and news magazines, search engines and chronologies, both printed and online. From these you can select the event(s) and condition(s) about which you want to write.
The most obvious places to look for events that occurred on the day of your birth are daily newspapers which were published on that date, and weekly news magazines for the same week.
For example, try some of these: