Dr. David Marcus, one of the brains behind Project Genesis, is the illegitimate son of James T Kirk.
Commander Riker's party on Melona IV are the only people to ever survive an encounter with the Crystalline Entity in its 12 attacks on planets.
Baseball dies out in the 2040's.  The last World Series is held in 2042, and the winning home run is hit by Buck Bokai.
Marriages between Andorians usually involve a group of four people.
The so called Vulcan Death Grip does not actually exsist.  It was created by Spock to fake the death of Kirk in order to help him escape from the Romulans.
Vulacan used to kill to obtain their mates, now mates are choosen by their parents when they are 7 years of age.
A popular drink with inhabitants of the Star Empire is Romulan Ale. Blue in colour and highly intoxicating, the drink is banned by the Federation.