What was happening in the world for me? Mary Louise Smith (18) was arrested for violating Alabama bus segregation laws on October 21, 1955 in Montgomery, Alabama. Colvin, Browder, and Smith were all arrested for refusing to give up their seats to white passengers. 4. Rosa Parks (42) refused to give up her bus seat to a white passenger on December 1, 1955. (thepeoplehistory.com)
Inventions: the Atomic clock and the Hovercraft - both from England
The number of human chromosomes discovered.
Polio vaccine approved.
Prominent scientists drawing the attention of world political leaders to the dangers posed by nuclear weapons. (duh)
Steve Jobs was born
Tim Berners - creator of the www was born
Bill Gates was born

Lots of interesting things that year. I'm in with some decent people and interesting discoveries I think. There were a lot more but these are what I "know".