Garth Ennis and Phil Winslade.
This is a fun one. I suspect the likeness of "Mudhawk" is based on Ralph Brown's character[s] from Withnail & I and Waynes World.
Ralph Brown being the guy who plays the dad in Him and Her.

Lobo - I Quit
Lobo - In the chair

not Logo.

Trying to post these sequentially.

Lobo is a classic satire of the X-men series. This is the Wolverine character taken to the logical extremes.

Ellis/Juan Jose Ryp
A fairly generic "What if superheroes were real, how would they respond to the state of the modern world" sort of story. Not bad.

Warren Ellis, Ivan Rodriguez.
Despite apparently having a dedicated underground following, Doktor Sleepless was cancelled after 13 issues. Personally I think it was with good reason, as the comic itself is just a transparent Gary-Stu ego trip on the part of Ellis. That's how it reads to me, anyway. You might disagree so here it is.

Clive Barker's "Fall of the Patriarchy". I've been meaning to post this for ages but the pages were in the wrong order and I had to re-sort them.

The New Adventures of Sigmund Freud, The Five Fists of Science and Doc Frankenstein.

A reappearing character from Mœbius, part of this was published in Heavy Metal but here's the complete set chronologically.

Jean Giraud, also known as Mœbius or Gir is an "artist's artist". Not all that well known to the general public, but among his fans are Ridley Scott, Fellini, Paulo Coelho and William Gibson. He worked on or directly inspired the visuals in things like Blade Runner, The Fifth Element, Tron, The Abyss, Star Wars, Space Jam and Alien. His most famous works are Arzach and The Airtight Garage, the latter of which made use of Michael Moorcock's character Jerry Cornelius, who is in turn an incarnation of Joseph Campbell's Eternal Champion as a Pierrot figure. Other incarnations of the same figure can be seen in Preacher (Jesse Custer), Hellblazer (John Constantine) and The Invisibles (Gideon Stargrave). Gideon is an exception but the initials JC pop up an awful lot in comics.
These are the pages Giraud wrote and illustrated for Heavy Metal

Moore/O'Neil