Thomas (Keanu Reeves) is a computer programmer by day and Neo — a badass computer hacker — by night. In short, he meets some legendary hackers, takes the red pill, becomes "the One," and aids in a rebellion to free humans from a life of slavery.
The Matrix continues to be one of the best sci-fi films ever made, and while it goes way beyond hacking, breaking into computer systems is central to the plot. The film also has street cred. In The Matrix Reloaded, Trinity (Carrie Moss) runs Nmap, a free open source hacking tool.