If the Matrix counts, then the anime Serial Experiments Lain counts even more. It has plenty of "comp-fi" credentials[0], and it plays heavily with the themes of online versus real identity, and the ways they can overlap and even overwrite one another. The series even includes actual "source code porn" including Conway's Game of Life in Lisp at one point[1].

[0]https://tvtropes.org/pmwiki/pmwiki.php/ShoutOut/SerialExperi...

[1]https://lain.wiki/wiki/Source_code