Goblins/Relationships

Demons
As to mentioned by Ogre, they are working under the orders of the demon lord.

Ogre
He is considered them as a working tool and look down at them as a weak and fool creatures.

Dark Elf
He is considered them as his useless but competent minions.

Goblin Slayer
Throughout the series, the Goblins are always constantly at odds with Goblin Slayer whenever he sets out to kill them and wiping out their nests. A Goblin Lord regarded Goblin Slayer as the one who got in the way of the goblins' plans. On some occasions, the Goblins are shown to also fear Goblin Slayer.

Dwarves
According to Dwarf Shaman, dwarves regard goblins as enemies.

Elves
Like with pretty human females, Goblins have a repulsive lusts towards female elves and will enjoy torturing them. Goblins can also easily smell a female Elf's scent.