John Wick, The Blade Trilogy, and The Underworld Series are all part of the Matrix.
Blade 1:
If you look at the overall style and atmosphere of the movie is very similar. So what are the vampires? In the Matrix Reloaded the Oracle says, "Every story you've ever heard about vampires, werewolves, or aliens is the system assimilating some program that's doing something they're not supposed to be doing." All the vampires in Blade are rogue programs. The Oracle says, "Programs choose exile when it faces deletion." Theory 1: In order to stop these programs the machines created the Blade program to delete these rogue programs hiding the Matrix. Because the Matrix was being overrun with them and they were slipping out of their control. Just like the agents in the Matrix Blade also wears sunglasses in areas that make no sense. A program doing what it was programmed to do.
Matrix Reloaded: Oracle: https://www.youtube.com/watch?v=qChxzPDLhl0
Theory 2: The humans hacked into the programs of some of the vampires and learned their code. They then created their own program to rid the Matrix of vampires and protect the minds of the humans who had not been awaken yet. Thus creating a hybrid human vampire program. The agents cannot move in and out of this program because it's code is viewed as another program to the machines.
Look at this hint from Blade: https://www.youtube.com/watch?v=ih3tTprwY04
Blade, "You better wake up. The world you live in is just a sugar coated topping. There is another world beneath it. The real world." This could be a reference to the vampire underworld, but it may have a double meaning. Blade is slowly introducing her to the reality that she is living in the Matrix and her world as she knows it is not real.
Blade 2:
There is a virus that infects the vampires and turns them into reapers. In the Matrix Reloaded the vampires and other exile programs work for The Merovingian (The Frenchman). He has a lot of power and influence inside the Matrix. He more than likely protects these exile programs if they do his dirty work. He creates the virus program to turn the vampires into reapers to help them survive the threat of Blade.
Underworld Series:
We have established werewolves and vampires exist in the Matrix. Just like the Blades series, the atmosphere, style, clothing all resemble the Matrix. The vampires are able to drink the blood of others and see all their memories. Drinking of blood is the way the programs are accessing the memory files of the other programs, downloading all their information, and storing it to their internal memory drive. Throughout the series there are different hybrid species. These are the programs learning the code of the other programs and upgrading their own system. In the first clip with the Oracle it was already mentioned "programs hacking programs." It is established that A.I. exist, so it would make sense a program would attack another to survive. Similar on a computer, if you install two antivirus programs, they attack each other.
John Wick Series:
This is the spiciest theory. John Wick is the earlier version of The Matrix.
(Unrelated: Vint Cerf is credited as one of the inventors of the internet. He looks so much like The Architect. Maybe the Machines wanted Neo to feel at home.)
In the Matrix Reloaded The Architect tells Neo, "You are the eventualities of an anomaly which despite my sincerest efforts I have been unable to eliminate from what is otherwise a harmony of mathematical precision." He then goes on to tell Neo he counts the versions of Matrix based on the emergences of anomalies making the Matrix during the time of Reloaded the 6th version. In the first film Agent Smith tells Morpheus, "The first Matrix was designed to be a perfect human world." "It was a disaster. No one would accept the program and entire crops were lost. Some believed we lacking the programming language to describe your perfect world."
https://www.youtube.com/watch?v=9Qs3GlNZMhY
What this suggests is the machines must have gone through a trial and error process when creating the Matrix. John Wick was an older version of the anomaly.
Neo = John Wick
Morpheus = Bowery King
The Keymaker = Doctor
All these characters have the same skin with some minor alternations. The machine are lazy and rather then change to a new skin they copy and paste and use the same images with minor modifications.
Proof:
https://www.youtube.com/watch?v=bHLR3faI7lU
https://www.youtube.com/watch?v=bHLR3faI7lU
Let's start with the the Keymaker from the Matrix. He tells Neo he is doing what is doing because that's his purpose. He is a program specifically design to help Neo meet the Architect so the anomaly (The One) can return to the source and reset the Matrix. This has been done 5 times before and will be done again.
In John Wick the Doctor helps John Wick when he is in need even though he is not supposed to because his function was always to help The One. In both of these films the character does not have a name. He goes by Keymaker and Doctor. The machines save themselves the trouble of a name and simply name him based on his function.
The set up for the original Matrix was for Morpheus to be captured and tortured by the Agents and for Neo to realize himself as The One. In John Wick, Bowery King is tortured similar to how he is in the Matrix. The machines are attempting the learning the limits of the human and how they feel, their breaking points, and their interactions with each other. In both world Bowery and Morpheus are powerful men who help The One in unique ways.
Finally we have Neo and John Wick. How is it that John Wick can survive so much and keep going? The machines are training the mind of human and learning what his motivations are and how to identify the emergence of the anomaly and still add in a system of control to eventually send him back to the source and reset the Matrix. The machines have created the Winston program to learn from John Wick and give feedback to the machines. At the end of John Wick 2, John asks Winston, "Then why am I not dead?" Winston response, "Because I deemed it not to be." Winston then signals to another program on the phone to freeze all programs and focus on John Wick. How else could someone have so much power over people if they weren't all programs?
https://www.youtube.com/watch?v=lO_Rvt6Wdlc
This of course is all to create an illusion that John actually has a choice. Like The Architect mentions, "thus not beyond a measure of control which has led you inexorably here." Everything is a system of control in John Wick that started with killing of his wife and dog. The machines lacked the ability to understand love and designed a world to study it and learn about it and use as control humans.
Since the machines have access to all the minds of the humans they can find this anomaly by analyzing all the minds in the Matrix and discovering who it will be before he knows he is The One. This of course triggers the machines to set up the events that lead to resetting of Matrix each and every time.
And because we see these similar patterns in anomalies we see similar patterns in behavior.
"Guns. Lots of guns."
https://www.youtube.com/watch?v=vBe0CnrqcwU
There are "programs to govern programs." It is why Winston has control and he has established rules about the Continental. The second John makes it there he is untouchable. The programs faithfully obey and do are they were programed, that is not without exception though. Just like we have rogue programs in the Matrix, the same can be seen in John Wick.
Do you think it's coincidence that The Continental is the building with so much power and control in John Wick and that when Neo fights Agent Smith in Revolutions (when the Matrix is completely infected and out of control) that it is destroyed during the final fight?