When it’s Normal Summoned, Protector with Eyes of Blue allows you to Special Summon a Level 1 LIGHT Tuner from your hand. You can Normal Summon Protector with Eyes of Blue and use its effect to Special Summon The White Stone of Ancients or since it’s not stated otherwise, even another copy of Protector with Eyes of Blue.
Once per turn, by sending 1 Effect Monster you control to the Graveyard, Protector with Eyes of Blue allows you to Special Summon a “Blue-Eyes” monster from your hand. If you send The White Stone of Ancients to the Graveyard with this effect, during your End Phase, you will be able to Special Summon a “Blue-Eyes” monster directly from your Deck. You can also send Protector with Eyes of Blue itself to the Graveyard to activate its effect and Special Summon a “Blue-Eyes” monster from your hand.
You can Special Summon Cosmo Brain from your hand by sending 1 non-Effect Monster from your hand or face-up field to the Graveyard; Cosmo Brain gains ATK equal to the Level of that monster. Since both Blue-Eyes White Dragon and Dragon Spirit of White, which is treated as a Normal Monster while in your hand or Graveyard, are Level 8, Cosmo Brain will have 3100 ATK, which means that, with Beatdown, it will be able to get Ancient Gear Reactor Dragon under Ancient Gear Castle.
Once per turn, by Tributing an Effect Monster, Cosmo Brain allows you to Special Summon a Normal Monster from your hand or Deck. You can Tribute The White Stone of Ancients, Protector with Eyes of Blue, Dragon Spirit of White or even Cosmo Brain itself to Special Summon a Blue-Eyes White Dragon directly from your Deck.
When it’s Normal or Special Summoned, Dragon Spirit of White allows you to target a Spell/Trap Card your opponent controls and banish it. You can send Dragon Spirit of White to the Graveyard to Special Summon Cosmo Brain and then Special Summon it via Silver’s Cry.
If your opponent activates Shien’s Dojo or Geartown, do not chain Silver’s Cry to it. Set your Toggle Button to ON, let their card resolve and then activate Silver’s Cry. If Silver’s Cry is activated as Chain Link 2 or higher, Dragon Spirit of White’s effect will miss the timing.
If your opponent controls a monster, you can Tribute Dragon Spirit of White to Special Summon a Blue-Eyes White Dragon from your hand. You can banish The White Stone of Ancients from your Graveyard to add a Blue-Eyes White Dragon from your Graveyard to your hand to Special Summon via this effect.
Stardust Dragon can be Summoned by using Cosmo Brain and The White Stone of Ancients or Protector with Eyes of Blue as Synchro Material. Stardust Dragon is primarily used in the Yubel matchup.
If this card is Special Summoned, Dragon-Type monsters you currently control cannot be targeted or destroyed by card effects until the end of the next turn. Azure-Eyes essentially provides protection against a plethora of cards that are fairly common in the current meta such as Paleozoic Canadia, Treacherous Trap Hole and Karakuri Ninja mdl 339 "Sazank".
Once per turn, during your Standby Phase, Azure-Eyes can Special Summon a Normal Monster from your Graveyard, meaning the Dragon Spirit of White or the Blue-Eyes White Dragon that you have likely used to Special Summon this card.
If your opponent Special Summons a Lava Golem to your side of the field, you can get rid of it by using it as Synchro Material to Summon Giganticastle.
Beatdown will allow your Dragon Spirit of White to get over Legendary Six Samurai - Shi En. Since it’s quite easy to get multiple Level 5 or higher monsters on the field at once, even big threats such as Ancient Gear Reactor Dragon will not be an issue.
Since this deck can generate a few weak or unplayable hands, you can opt to sacrifice offense in favor of consistency.
Dragon Spirit of White can be used to banish Shien's Dojo, preventing the opponent from Special Summon Secret Six Samurai - Fuma from the Deck and thus from Synchro Summoning Legendary Six Samurai - Shi En.
Now that Six Samurai decks do not have access to Treacherous Trap Hole anymore, you can swarm the field more safely since the only way your opponent could have to punish that would be Six Style - Dual Wield, which is a Trap Card that is usually really easy to identify and neutralize via Dragon Spirit of White. Overall Six Samurai decks do not deal particularly well with any deck that is capable of Summoning high ATK monsters so consistently.
Dragon Spirit of White can banish Geartown and Ancient Gear Fortress and, without an Ancient Gear Reactor Dragon on the field, Geartown Turbo decks are really not that difficult to deal with. Even if your opponent does manage to Summon their main monster, both Blue-Eyes White Dragon and Cosmo Brain are able to get over or, at the very least, tie with it in terms of ATK thanks to Beatdown.
Koa'ki Meiru Ice is able to wipe your entire board by itself and, if your opponent banished Diamond Core of Koa'ki Meiru, Treacherous Trap Hole will be completely useless against it.
Fortunately for you Koa'ki Meiru Ice’s effect does have an activation cost. You can Tribute Dragon Spirit of White to Special Summon Blue-Eyes White Dragon in response to Koa'ki Meiru Ice’s effect, forcing your opponent to expend more resources, or just use Silver’s Cry to Special Summon one of your monsters during the Battle Phase.
Karakuri Ninja mdl 339 "Sazank" and Lava Golem can be quite problematic to deal with. You shouldn’t Summon more than one monster if you don’t want them to get Tributed, but leaving a single one on the field also makes you vulnerable.
Neos decks focus on whittling down the opponent’s resources, taking control of the field by sending your monsters to the Graveyard or back to the hand and then finishing you off with high ATK Fusion Monsters that can be easily Summoned via Koa'ki Meiru Ice
Neos Fusion or Miracle Contact.