I think, Matrix had many revolutionary visuals that are just it's own (like bullet bending) but some of the images of machines and darker images of the city - I can feel definite influence of "Blade Runner" (and "Dark City", but "Dark City" itself is influenced by "Blade Runner" IMHO). One moment I remember in particular - the moment when Trinity is falling from a building has definite resemblance with the moment when Rick is hanging of a building in "Blade Runner". But there are many others, I think. Neo at the beginning resembles Rick very much too.

Another aspect - both these films explore ideas of artificial intelligence and get it right and because of it both hit the spot as far as "geeky" computer-related culture is concerned.

Plus both have philosophical and mystical references and again, both get it right.

But, I don't mean this as a "bad thing" - "Blade Runner" is so good that it has become "public property".