Jerkass: He spent decades being a massive pain in the ass to the Avengers.
Jerk Ass Has A Point: The times he stops in onto the mansion are always just after a huge breach in security, from his POV it isn't that unjustifiable that he sees the Avengers as not taking security seriously.
Pet the Dog: When called out for being 'heartless' he brings up that he took a year off work to take care of his father, who was suffering from dementia and he himself fears suffering from it.
Rogues-Gallery Transplant: Whenever he's not bothering the Avengers, he can usually be found harassing the X-Men and their associates.
Spanner in the Works: When the Avengers and other heroes were busy battling the Dire Wraiths (the sworn enemies of Rom Spaceknight) in their final invasion of Earth, Gyrich found himself manning a giant-sized version of Rom's Neutralizer weapon, intended to be used on the Wraiths (who were busy trying to replace Earth with their "Wraithworld"), but he instead tried to use it to rid Earth of all superpowered beings. Thankfully, mutant inventor Forge (who was also manning the device) stopped him before he could screw everyone else over.
Sunglasses at Night: He's almost always wearing sunglasses, regardless of how much light there is.
Tyrant Takes the Helm: His command over Avengers and S.W.O.R.D. was obstructive and often inhibited the heroes.