It's a Six Samurai deck with Draw Sense: Earth, used to draw a Six Samurai monster. With this deck you can Special Summon an Elder of the Six Samurai and Normal Summon Kagemusha of the Six Samurai, then Synchro Summon Legendary Six Samurai - Shi En to negate Pegasus' spells. Otherwise you can normal summon a Six Samurai and Special Summon another one with Asceticism of the Six Samurai, then you can Synchro Summon Legendary Six Samurai - Shi En.
Keep destroying enemy monsters to avoid that Pegasus summons Toon Dark Magician and Toon Ancient Gear Golem. You should have 2 Shi-En on the board before the last turn. On the last turn normal summon Gravekeeper's Vassal, use Secret Pass To The Treasures, Two Union Attack, then direct attack with Gravekeeper's Vassal. The average score is about 7000-8000 (I score 8000 and above due to glossy and prismatic cards).
This deck is quick and quite easy to use: use Paleozoic Marrella and Paleozoic Pikaia to thin your deck (discard Paleozoic Canadia or extra copies of Paleozoic Pikaia and Paleozoic Marrella) in order to draw Astral Barrier and Spirit Barrier.
Set them and chain your traps with Paleozoic cards in your GY: you should have 2 Paleozoic on the field, then deflect the opponent's attacks from your monsters to your LP, activating the effect of Astral Barrier (the damage will be zero due to Spirit Barrier). Active the field spell Wetlands as soon as possible so your Paleozoic will gain ATK and Pegasus will move his monsters to the defense position: from this moment you won't be bored by the activation request of Astral Barrier.
On the last turn, normal summon Gravekeeper's Vassal, use Secret Pass to the Treasure and 2 Union Attack on it, then attack directly with Gravekeeper's Vassal.
Notes: Activate Last Day of Witch to destroy Millennium-Eyes Restrict and Relinquished to prevent they equip Gravekeeper's Vassal by activating their effect.
Hazy Flame Sphynx will be used with Beast Rising to make a powerful monster on the field. Hazy Flame Sphynx lets you swarm the field with monsters which you will then banish with Beast Rising to boost Hazy Flame Sphynx' attack.
Hazy Flame Sphynx is immune to targeting effects so you do not need to worry about Pegasus' Relinquished monsters.
Search out Hazy Flame Sphynx with Hazy Flame Cerberus.
Summon Hazy Flame Sphynx with Dynatherium, Soul Exchange, or Mausoleum of the Emperor.
Swamp Mirrored can be used as tribute fodder or as cost for Beast Rising. Always declare Beast or Beast-Warrior as its type.
On your final turn you should have Hazy Flame Sphynx with an insane amount of attack. Change an opponent's monster to attack position with enemy controller and attack into it.
Master of Fusion Can be used each time your Life Points decrase by 1800. In the Draw Phase, instead of doing a normal draw, one Polymerization Spell Card, from outside of your Deck, is added to your hand.
There's a high chance that you can Fusion Summon Dark Paladin on turn 1.
Use Fusion Reserve, Emblem of Dragon Destroyer and King of the Swamp to get Dark Magician, Buster Blader or Polymerization from your Deck.
Use King of the Swamp depending on what you need. You can send it to the Graveyard to get Polymerization or use it as a Fusion Substitue. It's recommended to have more copies of this card in-place of Beastking of the Swamp.
Negate Black Illusion Ritual and Relinquish Fusion so Pegasus doesn't absorb your Dark Paladin.
Attack Pegasus' Toon monsters the turn they are summoned so they do not attack you directly the following turns.
On your final turn, Fusion Summon Dark Flare Knight. Normal Summon Gravekeeper's Vassal and use 2 Union Attack and Secret Pass to the Treasure on him.