A fanlisting is a list of fans of a particular book, movie, celebrity, food, place, etc.
In this case this is a fanlisting for the object called The Triangle of Light. The artifact that was seen in the first Tomb Raider movie.
Now, I'm not sure if it was ever dealt with in the Tomb Raider games, so there won't be any mention of it being in the games here.
The Triangle of light had the power to not only stop time, but steal time as well. And give stolen time back. The Triangle of Light was divided up into 2 pieces...each at different ends of the world as to make it harder to find it. In order to activate the Triangle, a special clock was needed. And it had to be done on the complete planetary alignment...which only happened once every 5,000 years. The Triangle itself was absolute power, but in the wrong hands it could become corrupt power.
Now, this also provided some of the best special effects in the movie. The most famous one being the time storm in which the husky dog jumped through and you could see his bones. The other being Lara being able to steal time for a moment to see her father again who persuaded her to destroy the Triangle.
Lara Croft, Manfred Powell, and a group known as the Illumanati were all after the Triangle...for different reasons. Lara was after it to make sure it didn't fall in the wrong hands. Powell and the Illumanati were after it for their own selfish reasons.