Well technically, before there were "FPS" there were "Doom-likes".
Also, again from a technical point of view, the engines behind Wolfenstein, Doom, Doom II and the Quake saga consecutively revolutionised/reinvented the genre.
Maybe you're referring to Marathon on Mac ?
To be honest I've always been a PC guy, so I don't know for sure about the dates and I never played Marathon, not at the time nor since.
Notice how I had put "inventing" into quotes though. ^^
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I like how this video mentions the genius that also was behind game and level design (and which are not due to John Carmack (@ID_AA_Carmack on twitter) but to his colleague from the time John Romero (@romero on twitter)).
If like me you've played the first episode (shareware version) of Doom (and or Doom II) over and over again, you'll know what's missing there and how it kind of denatures the original "experience" ^^
Also thank you
shinkan, I've corrected the grammar mistake that your quote was pointing.