Ascended Meme: As of the Xbox Live Arcade release of Doom II, most of the achievements are named after several lines from this very comic, such as "Important Looking Door" being obtained by finding a secret, and "You Have Huge Guts" for killing a Cyberdemon with your fists.
Companion Cube: "At this particular moment in time, I don't think I have a healthier or more deeply-felt respect for any other object in the universe than this here Shotgun." ...Then again, he's probably gone completely insane, so Cargo Ship, perhaps?
The aforementioned Cargo Ship is actually lampshaded and ridiculed at about 3:15 and 6:20 in this entry to a YouTube-based dramatic reading contest for the comic (for men and women, I must let you know).
The Dark Age of Comic Books: In many ways, this is really a parody of the kind of overly violent, overly angsty comics that were in vogue during the 1990s...
Exploding Barrels: Wouldn't be Doom without 'em! He detonates a room full of them to try and get rid of an invisible Pinkie, but fails and is bodyslammed into the pit of radiation below.
Foe Tossing Charge: At the story's climax, with a horde of monsters between the hero and the BFG.
Gun Porn: Sort of. After claiming "Guns are for wusses!" and promptly needing one, "Doomguy" effectively fetishizes the guns he finds; so much that at one point, much in the manner of a classical pick-up artist, he claims he's "All about that plasma rifle" (and baby, it's all about him!)
Heroic Comedic Sociopath: Let's see. He's got a "positive goal" (killing demons), he performs over-the-top grizzly deeds (killing demons), he loves what he's doing (killing demons), and it's all Played for Laughs (killing de- I mean, 'yes, most probably'). The Doom Marine in this story most likely qualifies.
No Fourth Wall / Ax Crazy: The berserker packin' 'MAN AND A HALF is generally conversant with the non-spoken internal monologue boxes. Either he's crazy, or there's no fourth wall. Or both.
No Sell: The Marine's berserker pack runs out just as he punches the Cyberdemon. Said Cyberdemon merely grins at the now suddenly-not-Axe Crazy Marine.
Up to Eleven: "I`m the man! I`m a bad man! How bad? Real bad! I`m a 12.0 on the 10.0 scale of badness!"
Warrior Monk: Sort of. After finding the BFG 9000, the "Doomguy"s normal tough-guy rhetoric is suddenly replaced by expressions one expects to hear from a classical warrior priest (although, to be fair, he does end it with his classical, every-word-a-catchphrase style).
Some time in 1996 a couple of guys got together and smoked what was apparently a large amount of crack and then injected pure heroin into their eyes and then proceeded to create what is now known only as 'the Doom comic'.