User Skoogra from Reddit posted a list with different Goblins/stratregies. From the comment, this user reached Floor 31 of Labyrinth.
*Greedy: Deflect damage. Sk/Mike/Mech/Gh/DD/Tr/Orks/etc. (No Buffers like PD/Cu/Dr unless you have a game plan)
*Angry: Psyshield. Perma slow with Medusa/Pd/TT/GS. Bring lots of slowdown, heavy blow, scatter (to break psy) talents/crests, stunners, etc.
*Hungry: Heavy Life drain Goblin. Perma slow with Medusa/HQ/WL/Santa/Arc/Molt and Pd. Don't let it target a melee hero first or you will start losing heroes while it gains HP. Can tank with SK and try to out DPS his heals but it is much faster the first way.
*Smug: Dodge and dmg reduction. Bring lots of dps like GS/TT and some tanks and heals like SK/GH/Mike. He has an axe attack similar to AD that targets lowest HP hero but don't think he insta kills lowest HP.
So far, I've got the Angry and Hungry Goblin. But of course, so far I've made on Labyrinth is Floor 3.
From Castle Clash wikia, this is the description of the 4 Goblins:
Smug Goblin: "Your feeble attacks won't even leave a scratch!" The Smug Goblin rubs its nose idly.
Greedy Goblin: "You want a fight, you've got one!" The Greedy Goblin grins menacingly. Its armor is laced with venom.
Hungry Goblin: "I'm dying for a bite!" The Hungry Goblin rages and attacks anyone nearby.
Angry Goblin: "How dare you disturb me!" The Angry Goblin glares at anyone who tries to stun it.