My take on the Breya deck. It's a ton of fun and I think it has a good balance of combos, tutors for combo pieces, ramp, and general artifact synergies and recursion. This allows the deck to work well in multiple play groups and against different levels of deck power. You can just sit back and play a fun artifact deck and play politics or you can aggressively search out combo pieces and just win quickly.
The combos
Nim Deathmantle+Breya, Etherium Shaper+Ashnod's Altar or Krark-Clan Ironworks
Sac 2 thopters to either Ashnod's Altar or Krark-Clan Ironworks for 4 colorless mana. Then sac Breya, Etherium Shaper to either Ashnod's Altar or Krark-Clan Ironworks to your graveyard (not command zone). This brings your total to 6 colorless in your mana pool and triggers Nim Deathmantle. Pay the 4 colorless to bring Breya back who re-enters the battle battlefield with 2 more thopters. This resets and nets 2 colorless mana. Repeat for "infinite" mana. From here pay 2 colorless and sac a thopter and Breya to bolt an opponent with Breya's ability, pay the 4 to bring Breya and 2 thopters back with deathmantle. Repeat to deal infinite damage to all opponents.
Note: Also Scarecrone+Clock of Omens together can be used together in place of Nim Deathmantle. Pay 3 colorless and activate Scarecrone to bring back Brea and 2 thopters. Then tap the two thopters to untap Scarecrone with Clock of Omens.
Thopter Foundry+Sword of the Meek+Breya, Etherium Shaper+Ashnod's Altar or Krark-Clan Ironworks
Pay 1 generic mana and sac Sword of the Meek to activate the ability on Thopter Foundry to gain 1 life and make a thopter. When the thopter enters the battlefield it triggers Sword of the Meek which comes back from the graveyard equipped to the new thopter. This nets 1 life and 1 thopter for 1 generic mana.
If you add either Ashnod's Altar or Krark-Clan Ironworks you can sac 1 thopter for 2 colorless mana, which gives 2 cycles of the Thopter Foundry+Sword of the Meek combo. This turns into "infinite" colorless mana, life, and thopters. Add Breya for infinite damage to all opponents.
Note: Urza, Lord High Artificer can be used in place of Ashnod's Altar or Krark-Clan Ironworks by tapping sword for blue with Urza and using that to activate thopter foundry sacing sword. Net is infinite life and untapped thopters which can be tapped with Urza for infinite mana.
Nevinyrral's Disk+Darksteel Forge
Nevinyrral's Disk is worded uniquely. You do not sacrifice it to activate the ability. The ability usually just destroys it in addition to everything else. But if you have a Darksteel Forge all of your artifacts are indestructible, including Nevinyrral's Disk. So you just get to wipe the board except your artifacts over and over.
Tutors
Trinket Mage- gets Mana Vault, Sol Ring, or Skullclamp.
Tribute Mage - gets Nim Deathmantle, Sword of the Meek, Thopter Foundry, Grim Monolith, and Baleful Strix.
Trophy Mage - gets Metalworker, Chromatic Lantern, Ashnod's Altar, or Scarecrone.
Arcum Dagsson, Inventors' Fair, Tezzeret the Seeker, Fabricate, Enlightened Tutor, Whir of Invention, Moonsilver Key.
Ramp
Metalworker, Chief Engineer, Vedalken Engineer, Solemn Simulacrum, Ashnod's Altar, Blinkmoth Urn, Chromatic Lantern, Krark-Clan Ironworks, Sol Ring, Mana Vault, Grim Monolith, Thran Dynamo, Gilded Lotus, Storm the Vault
, and Urza, Lord High Artificer, Tezzeret, Master of the Bridge.
Recursion
Academy Ruins, Buried Ruin, Daretti, Scrap Savant, Goblin Welder, Scarecrone, Sharuum the Hegemon, Open the Vaults, Scrap Mastery, and Tezzeret, Master of the Bridge. These all bring things back from the graveyard. With repeatable recursion cards the following cards become great. Baleful Strix, Myr Battlesphere, Solemn Simulacrum, Magister Sphinx, Wurmcoil Engine, Spine of Ish Sah, and Wayfarer's Bauble.
Board wipes
Supreme Verdict, Scourglass, and Nevinyrral's Disk.
Alternate Win Conditions
Tezzeret, Agent of Bolas, Tezzeret, Master of the Bridge, and Blightsteel Colossus.
Card Draw
Baleful Strix, Jhoira, Weatherlight Captain, Padeem, Consul of Innovation, Solemn Simulacrum, Skullclamp, Karn, Scion of Urza, Tezzeret, Agent of Bolas, and Tezzeret, Artifice Master. Urza, Lord High Artificer is non-draw card advantage.
Other notes
Summoning Station is a weird one to understand. You get a 2/2 every turn if nothing dies. But each time an artifact goes to the graveyard it triggers the second ability. Even if a bunch of artifacts die at once, Summoning Station sees each one and it puts a copy of the triggered ability on the stack for each artifact. Even though thopter tokens don't stay in the graveyard, when they die or get sacrificed it still triggers Summoning Station. For each copy of the untap triggered ability, you can respond by tapping Summoning Station to make a 2/2. Essentially you get one 2/2 for each artifact that ever dies, gets destroyed, or gets sacrificed. Also works for opponents artifacts not just yours.
Myr Battlesphere with repeatable recursion and a sac outlet can get out of hand petty quickly too.