It's no use carping on about that Dark City (1998) did all of this the year before, or that the film's Nopanesque 'deep' thoughts barely get out of Philosophy 101. Or that even before we touch on something as subjective as 'chemistry', there is absolutely no reason for viewers to understand what Trinity and Neo even like about each other...
... but when it's pulled off with this much cinephilia and flair, who really cares?
Anyway, this is is the first time I've watched this in about 15 years and what strikes me now is just how much care and attention went into it, and also just how much the urban environment feels vaguely unsettling. Obviously, part of this is because the movie is very, very green. But I believe part of this also comes from the fact it was filmed in Sydney. It's not that Australia is an alien culture in any sense, but we are so used to the small details of North American cities that the streets of Sydney look superficially familiar, yet there is something uncannily 'off' about them if we are being asked to see them as just another US metropolis — not unlike the unheimlich soundstage Kubrick built for Eyes Wide Shut (1999). Oh, yeah, watch out for the massive "M" vs "F" in the final sequence: how did nobody spit this?
Anyway, Morpheus is so obviously the most important character that I'm not surprised that when Val Kilmer, when half-heartedly approached for the part, wanted to orient it even more around him. And disappointing that he does not return in The Matrix Resurrections (2021)...
Despite its fantastic premise, The Matrix evoked and identified a recognizable world—a new social reality in which freedom and social control had merged, while information, entertainment, fantasy, advertising, and communication seemed indistinguishable. This was reinforced by the movie’s incidental social realism—the narrative was not just dependent on computers but cell phones and instant messages. The Matrix further benefited from and made use of DVD technology which, introduced in 1996, came into its own as a consumer product in the late 1990s (and soon began to provide the movie industry’s margin of profit), not least because of the extras the new format permitted, including commentary and self-promoting production documentaries. What's more, in addition to promoting itself, The Matrix also popularized certain ideas associated with French philosopher Jean Baudrillard—namely the notion of the Hyperreal, "a real without origin or reality," which might be one way to characterize CGI, as well as The Matrix itself. […] As Herbert Muschamp wrote of The Matrix, shortly after its release, one is "never entirely certain what is real photography, what is computer-generated imagery, what is a location, what is a set, what actions are performed by actors, what by stand-ins".
— J. Hoberman: Film After Film (Or, What Became of 21st Century Cinema?) (2012)