Relinquished Chaos is a Yu-Gi-Oh! Goat Format deck that uses Manju of the Ten Thousand Hands and Senju of the Thousand Hands to add copies of Relinquished and Black Illusion Ritual to the hand. While it’s possible to summon Relinquished, the ritual cards are largely used as discard fodder for cards like Graceful Charity, Card Destruction, and traps like Divine Wrath/Raigeki Break. Since Manju of the Ten Thousand Hands is a light and Relinquished is a dark, the engine supports Black Luster Soldier - Envoy of the Beginning and Chaos Sorcerer quite well, so they are a natural inclusion. Relinquished Chaos is a control deck at heart.
Beastdown, often known as “Zoo”, is a Yu-Gi-Oh! Goat Format deck that is distinguished by its aggressive beast and beast-warrior monsters: 3 Berserk Gorilla and 2-3 Enraged Battle Ox in particular. Enraged Battle Ox can give piercing to the deck's other beast monsters, possibly including King Tiger Wanghu, Giant Rat, and Bazoo the Soul Eater. Beastdown plays a heavy trap lineup to bolster its aggression that often includes Trap Dustshoot. There are a few different directions that the deck can be taken, but all of them focus on aggression first and foremost.
Library FTK is a Yu-Gi-Oh! Goat Format deck that draws its entire deck in a single turn using one of its 3 copies of Royal Magical Library. It does this by repeatedly activating continuous spells with (3 copies of) Giant Trunade. These continuous spells include but are not limited to 3 Convulsion of Nature and 3 Archfiend’s Oath, which combine to pay lifepoints and draw free cards. Giant Trunade is the deck's key combo piece, which it activates over and over again with Spell Reproduction and A Feather of the Phoenix. The deck is also often known as "Tundo FTK", named after the deck's creator, Vincent Tundo.
Gravekeepers is a Yu-Gi-Oh! Goat Format deck distinguished by its 3 Necrovalley and a variety of Gravekeeper monsters. These monsters include 3 Gravekeeper's Spy, 1-3 Gravekeeper's Guard, 1-3 Gravekeeper's Spearsoldier, and 1-3 Gravekeeper's Assailant. As support, they play 2-3 Terraforming to search out Necrovalley and a larger than average trap lineup with 3 Solemn Judgments. The deck usually plays Tsukuyomi for synergy with Gravekeeper's Spy and Gravekeeper's Guard or Skill Drain to shutdown all monster effects. Gravekeepers is mostly an aggressive deck that deals damage through the effects of Gravekeeper's Spearsoldier and Gravekeeper's Assailant.