Here's a site that will tell you what songs were No. 1 during any particular week.
Topping the charts on the day I was born was How Do You Do It by Gerry and the Pacemakers in the UK, and He's So Fine by the Chiffons in the US.
The site suggests that the No.1 song on your 18th birthday is your life's theme song. So my UK theme is This Ole House by Shakin' Stevens, while my US theme is Kiss on My List by Hall and Oates. So apparently I'm going to live in an old house with two men who want to kiss me. This is not how I envisioned my future.