Factual error: In the fight scene in Lara's garage, she rides her motorbike towards the guy attacking her, does a front wheelie and knocks him out with the rear wheel by braking and turning the bike on its front wheel. The back end of the bike then gently lowers itself to the ground, rather than dropping heavily under the force of gravity.
Factual error: When Lara is about to be air-dropped into Cambodia, she concludes her transmission to the plane crew by saying: "Over and out." Even a novice two-way radio user would know better. "Over" means "I stop talking and await your reply", while "out" means "I am finished..no reply needed.goodbye." They cannot be used together.
Factual error: Here's the basic plot: every 5000 years, the planets align (viewed from "above" and the side). The last time this happened, a meteor fell to the Earth. The metal from the meteorite was used to make a Mystical Device, which can Stop Time, Give Great Power, and Do Other Things that require capital letters for emphasis. Without drawing this into a boring scientific lecture, I'll provide one aspect that would destroy the plot significantly; Pluto's orbit is tilted by a whopping 17 degrees from the plane of Earth's orbit (technically called the ecliptic), which is huge compared to the size of the planet itself. Check out http://seds.lpl.arizona.edu/nineplanets/nineplanets/plutodyn.html
Factual error: When Lara looks through the telescope, it should be dark in the room.