I liked the Tomb Raider films, but I'm a sucker for just about any adventure involving archaeology and myth or religion (and Jolie). The Terminator and Alien series are typically identified as feminist but in a way they seem a bit sexist, or started out that way. What made Alien and Terminator was the seeming weakness of the lead being chased around by an unstoppable evil.
To be terrorized you need to put yourself into the lead's role, male or female, and it's just harder if the lead is a badass. Compare Sarah Connor with the guy who came back to save her, he was the badass even though he was over matched by Arnold.
One of my favorite lines came from Aliens when Ripley tries to 'man up' Bill Paxton's character when he's losing it. 'game over man, game over'. Ripley tells him this little girl has survived months surrounded by these creatures and Paxton tells her, 'put her in charge'.