“Hazy Flame” is an archetype of Level 6 FIRE monsters that was originally introduced via the Card Trader quite a long time ago.
“Hazy Flame” monsters cannot be targeted by card effects, they are able to quickly swarm the field and, as a consequence, they can take advantage of the Skill Beatdown! to make up for their relatively mediocre stats and overwhelm the opponent.
Note: Berlineth the Firestorm Vassal synergizes better with Hazy Flame Peryton, but it also requires you to discard a card in order to be Special Summoned.
If you control no monsters, you can Special Summon Blackwing - Gust the Backblast or Junk Forward from your hand.
Special Summon Blackwing - Gust the Backblast or Junk Forward and then Tribute Summon Hazy Flame Peryton or Hazy Flame Sphynx.
If you want to run Dynatherium, keep in mind that, when you Special Summon it from your hand via its own effect, your opponent will be allowed to Special Summon a Level 4 monster from either player’s Graveyard, if there are any.
You can send 1 FIRE monster from your hand to the Graveyard and Tribute Hazy Flame Peryton to Special Summon 2 “Hazy Flame” monsters directly from your Deck.
Special Summon Hazy Flame Sphynx and Hazy Flame Mantikor or Hazy Flame Cerbereus and then activate Hazy Flame Sphynx’s effect.
Since you have only two Spell/Trap Cards in your entire Deck, you can safely activate Hazy Flame Sphynx’s effect and declare “Monster Card”. Hazy Flame Sphynx will allow you to Special Summon a FIRE monster from your hand or Graveyard and, if you used Hazy Flame Peryton’s effect, you will have at least two targets already available.
You can Normal Summon Hazy Flame Cerbereus without Tributing, but, if you do, its original ATK becomes 1000. When Hazy Flame Cerbereus is destroyed, it allows you to add a “Hazy” card from your Deck to your hand. Use Cerbereus’s effect to add Hazy Flame Peryton or Hazy Flame Sphynx to your hand.
Hazy Flame Mantikor is able to reach 2500 ATK by itself, which means it ties with Legendary Six Samurai - Shi En. If you control 3 Level 5 or higher monsters, which is a surprisingly easy feat to accomplish, Mantikor can reach 3100 ATK via Beatdown and get over Ancient Gear Reactor Dragon without Ancient Gear Castle.
Use Skull Meister to prevent your opponent from Summoning Yubel - Terror Incarnate by negating Yubel’s effect from the Graveyard. You can also send Skull Meister from your hand to the Graveyard to negate the effect of Geartown and Ancient Fortress.
Without Beatdown, your “Hazy Flame” monsters wouldn’t even be able to get over a Legendary Six Samurai - Shi En. Protection from targeting alone isn’t going to be enough if the highest ATK monster in your Deck has only 2200 ATK.
This Skill will increase your chances of having a strong opening hand. Hazy Flame Peryton, a way to Tribute Summon it and a FIRE monster to send to the Graveyard for its effect or at least Hazy Flame Sphynx and Blackwing - Gust the Backblast or Junk Forward are your ideal combinations.
Drowning Mirror Force and Wall of Disruption can punish you for swarming the field and set you back completely. You can “play around” some of these Battle Traps by switching one of your monsters into Defense Position and/or activating Hazy Flame Mantikor’s effect. Hey, Trunade! and Cosmic Cyclone are arguably your best options when it comes to backrow removal.
Floodgate Trap Hole can be used to flip Hazy Flame Peryton face-down and prevent you from activating its effect. If you do have Hey, Trunade! available, you might want to start your turn by returning to your opponent’s hand all of their Set Spell/Trap Cards.
Your monsters cannot be targeted by card effects, but they can still be Tributed to Summon Lava Golem. You do have a way to get rid of this Level 8 Fiend-Type monster (Tributing it).
Dynatherium, Skull Meister, Blackwing - Gust the Backblast and Junk Forward are not FIRE monsters, which means you might end up with nothing in your hand to discard to activate Hazy Flame Peryton’s effect.
Anything with more than 3100 ATK is extremely problematic to deal with. Previous versions of this deck used to run Beast Rising, but increasing the ATK of one of your monsters doesn’t really do anything against Yubel and running more non-Monster Cards just makes it more difficult to guess the right type of card with Hazy Flame Sphynx’s effect.