Goblins didn't used to have many numbers to influence games being made about them. A long time ago, their population was just in the few hundreds with some having small tribes but one day they all came together and wanted to venture out to conquer the world. They raided small human villages nearby and took them by surprise, easily smashing through their defenses and carrying off the women back to their caves depths. The news about the destroyed village was slow to spread but it sparked fear in other towns and towns implemented constant patrols for any goblins that may try to whisk away their woman.
After a bit of trying, goblins learned that humans were compatible with them and able to produce goblin offspring to increase their numbers more which provided potential for bigger raids from the exploding population. The goblins reach slowly expanded though their original goal slightly changed, they want to conquer the world
and obtain all the women they could. They improved their weapons based on models seen when raiding towns, established a rank system for more coordinated attacks to improve hauls and expanded out into new caves to increase storage and breeding areas.
The capital established the Adventurers Guild where bounties with hefty rewards could be placed to destroy a suspected goblin cave to contain the spread or attempt to rescue a loved one before it was too late which ignited a period where EVERYONE wanted to become an adventurer for a chance to obtain riches. This lead to many disappearing from either underestimating the goblins or the caves being far larger than anticipated and becoming one of the new breeding females or killed if you were male. The bounties were later expanded to include other tasks with smaller rewards to minimize losses from goblins from the initial boom.
As the goblins reach grew more and more, the guild was worried about the adventurers losses incurred. They lost hundreds in a relatively short period and the adventurers drive to do goblin bounties was at an all time low to the point of where only one odd adventurer was doing them. He wore dark grey armor, was very quiet and would always come in the guild with a slight dead goblin smell to pick up his reward then find another bounty to leave with. After a few months of this routine, others dubbed him "Goblin Slayer" as he would complete all goblin bounties he picked up and it became a tradition to wait around drinking just to see him turn in multiple bounties when he came back from his hunt.
Hundreds of years later, historians dug up records of these events and released to the public. Game developers took a shot at making games with goblins to varying degrees of success and incorporated the caves and breeding mechanics as the main functions as the goblins would have wanted.
That's how modern day male goblin protagonist games rose up and
Goblin Slayer grew to be the best goblin killer the world has ever known.
Totally worth the effort of writing all this lol