Den of Geek has a post up on how films changed cinema in 1999. The Matrix is on the list for changing the way action films were made. They said the following:
…it was Deuce Bigalow: Male Gigalo that was the first to include an outright pastiche of The Matrix in one scene. But even if it wasn’t the forerunner, it was one of an abundance of movies that would follow in The Matrix‘s wake. The idea of making a traditional buddy action movie was all but gone – perhaps outside of Rush Hour – in a matter of years. Traditional action directors moved away from the genre, whilst techniques such as wire-fu, bullet time, slow motion and parkour instead began to take hold.
There were two things about The Matrix that arguably caused changes (for it was heavily influenced in its own way by Eastern cinema anyway). Firstly, it wrapped up things not seen in a Hollywood action movie in the midst of a Hollywood action movie. Secondly, people wildly, wildly reacted to it. In a way they hadn’t wildly reacted to Lethal Weapon 4. That it came out of the most traditional of all movie studios at the time – Warner Bros – was all the more surprising. But its success brought in a new wave of action talent, was influential in marking the end of the action movie superstar (Bruce Willis’ turn in The Sixth Sense later in 1999 would help there too) and remains mimicked to this day.
You can read about the other films here.