I really hate the current version of Dungeons & Dragons orc in 5th edition, often shown with gray or very light green skin and a ponytail of dark hair. They look much more like skinny ogres to me. This is what I might envision as an orog: a half-orc/half ogre might look like.

Makes all of the current orc miniatures unbuyable for me.
Or worse, they are often depicted as just humans with tusks and gray skin

this makes them far less brutish, primitive and warlike for my tastes and immediately implies cognitive abilities I would never assign to a orc. They shouldn't be shopping at the bazaar for fruits and fabrics, sipping their beverage at a table with friends in a tavern, or waiting in line for their turn at the counter of the local armory; they should be ambushing caravans of wagons, using equipment and weapons pillaged or improvised, and living in dungeon or nomadic tribes that are under might-is-right strongest rules management, or ruled subtly by slightly smarter but far craftier goblins coercing orcs to think they are in charge and the goblin is just a "consultant or advisor." The only orc organization comes when they are commissioned as an army or mercenary force by bigger badder bad-guys and then they might have military style rank and file organization and equipment and limited discipline based on fear, to some extent ala LOTR.
no wonder we got stuck with a lame orc bard in the reboot HQ from Hasbro, anyone who didn't grow up with 70's 80's and 90's orcs doesn't seem to have any idea what an orc is or supposed to be.
They seem to think an orc is just basically Beast from the X-Men completely shaved down to show gray skin instead of blue.
Orcs should be a different race completely than humans with completely different attributes, mentality and way they are roleplayed or depicted (so should elves and dwarves for that matter.)
Gimli was awesome and looked like a dwarf in the LOTR movies while the "dwarfs" in the Hobbit films had the same proportions and features of humans. Fail. I hate hobbits or halflings depicted as just small humans too, I want them to have different obvious anatomical differences, I much prefer the rounded little GW halflings or the chubby cartoon Hobbit from Rankin and Bass style with oversized hairy feet. Why have all the fantasy races including orcs been somewhat humanified in modern depictions?
This "She Hulk with elf ears and tusks" image of orcs in the public consensus has got to go.

Orcs should have the proportions of apes. Any species of real world apes from gorillas to chimpanzees would do. Longer arms, stocky barrel chested torsos and relatively shorter legs. Some can be shorter, skinnier, or more comically caricatured with exaggerated features. Some can be taller, more muscular or with scarier fangs and tusks that is fine. Green skin all the way for me. I don't like any hair on orcs unless they are half-orcs. The Games Workshop style orcs throughout the years have always been my idealistic orcs whether slightly cartoonish or the more realistic and scary looking hyper muscular versions in the later years. I don't mind some piggish early D&D influence but I wouldn't make them pig men. But even the Gamorean Guard in Return of the Jedi is more orc than the "orcs" in the Warcraft movie to me.
Greenskins or goblinoids should be interbreedable variants (subspecies) only named as specific types based on gradated differences in height or build, cranial features etc. a spectrum of increases from a diminutive weedy snotling, to a large nosed and eared skinny and short goblins, to squat and thick orcs with bandy legs, to larger muscular boss orcs, to huge big or war boss orcs and towering powerful black orcs. Black orcs with stronger discipline and greater calculation can be terrifying foes based on later GW models while the run of the mill standard orc could be from earlier GW figures. Greenskins is the race; orcs, goblins, or gnoblars are just the types of greenskins.
Hobgoblins could be more man shaped and more professional in their war attire, with greater mental acuity.

I have the same disdain with the current D&D version of Hobgoblins, this looks like a lion-man or illustrated Beauty and the Beast in fantasy armor rather than any sort of goblinoid.

It should look like this perfection of a hobgoblin from AD&D 2nd edition by Tony DiTerlizzi you can see the primate influence in the coloration of the nose reminiscent of baboons, drills, and mandrills.

HeroQuest, Battlemasters, and Warhammer defined the look of orcs for me forever. I hate all other fantasy franchise depictions of orcs. While I understand the limitations of makeup and prosthetics and CGI, the Lord of the Rings movies orcs just look like dudes in masks rather than another species entirely, which they are supposed to be. I liked the movies and it is as good as it can be but wish to see the GW style orc onscreen someday.

By Crom I'll split you crown to crotch to see if your guts are yellow as I think they are nithing BARBARIAN Ulrich
The last music you shall ever hear will be my bowstring as your forehead sprouts a feathered shaft, pity ELF Cael Darkhollow
Tomes grimoires manuals atlas formularies compendiums codexes bestiaries folios scrolls... Am I missing anything before we leave? WIZARD Eldritch Heironymous KigamMagister
Some quick axe work an' we can count the coins and gems DWARF Wulfram Magnussen