One of the funnier ones is that the matrix actually did hacking right. It was also so quick you don't notice it.

When Trinity hacks into the power station, it's legit. She checks the software version, which shows an out of date version. She then uses a known flaw in that version to reset the password.

It's the only bit of actual hacking in the movie. They obviously knew that geeks would be checking it frame by frame, so they actually did their homework on it.