The main way to go is to cast Ad Nauseam and win from there, or to cast a Mind's Desire with storm at about 10-20. You can kill them in other ways, however. It is easy to win with PiF/Yawg Win or off the back of a Necropotence.
You need more protection, point discard and 1cc counters are perfect.
Mana Geyser is terrible. Tinker is banned using any banlist. Simian Spirit Guide and Seething Song might not be the best rituals here - both are 3cc, which means ad naus and bob flips will really hurt, and of course red is not your primary color.
For my Grixis storm list I use Gwendlyn Di Corci as my general, as the discard ability really adds up, and Crosis is too slow.
1 cc discard as said previously is a must. I would strongly consider meditate as drawing 4 cards on the turn you go off is very powerful. Desperate Ravings also seems quite good, as does gamble. And I would play Mox Opal as you have quite a few artifacts. I don't think you really need Academy Ruins or Cabal Coffers and two islands seem better in those slots for high tide. City of Traitors is a great card with land untappers and just as acceleration on the turn you go off. From your choices, budget doesn't really seem to be an issue, so you could consider Candelabra of Tawnos .
I don't know if are attached to playing URB storm as UBW storm (although it has less storm cards) can play Zur as a general to find necro which is a solid plan b. There is a thread on the source named Bryant's Pile of Broken which contains both UBW and UBR storm lists.
1 Gwendlyn Di Corci
Draw/Filter: 16
1 Dark Confidant
1 Brainstorm
1 Compulsive Research
1 Faithless Looting
1 Frantic Search
1 Gitaxian Probe
1 Impulse
1 Intuition
1 Mystic Remora
1 Necropotence
1 Ponder
1 Preordain
1 Sensei's Divining Top
1 Serum Visions
1 Sleight of Hand
1 Thirst for Knowledge
Rituals/Accel: 15
1 Cabal Ritual
1 Chrome Mox
1 Dark Ritual
1 Desperate Ritual
1 Grim Monolith
1 High Tide
1 Lion's Eye Diamond
1 Lotus Petal
1 Mana Crypt
1 Mana Vault
1 Mox Diamond
1 Pyretic Ritual
1 Rite of Flame
1 Sol Ring
1 Turnabout
1 Trinket Mage
1 Cruel Tutor
1 Demonic Tutor
1 Gamble
1 Grim Tutor
1 Imperial Seal
1 Infernal Tutor
1 Merchant Scroll
1 Mystical Tutor
1 Vampiric Tutor
Counters: 5
1 Flusterstorm
1 Force of Will
1 Mana Drain
1 Pact of Negation
1 Remand
Storm: 4
1 Empty the Warrens
1 Grapeshot
1 Mind's Desire
1 Tendrils of Agony
Engines: 8
1 Ad Nauseam
1 Ill-Gotten Gains
1 Past in Flames
1 Reforge the Soul
1 Time Spiral
1 Timetwister
1 Wheel of Fortune
1 Yawgmoth's Will
Other: 10
1 Chromatic Sphere
1 Chromatic Star
1 Duress
1 Engineered Explosives
1 Inquisition of Kozilek
1 Repeal
1 Snap
1 Snapcaster Mage
1 Thoughtseize
1 Voltaic Key
1 Academy Ruins
1 Ancient Tomb
1 Arid Mesa
1 Badlands
1 Blood Crypt
1 Bloodstained Mire
1 Cabal Coffers
1 City of Brass
1 Flooded Strand
1 Gemstone Mine
1 Great Furnace
3 Island
1 Marsh Flats
1 Misty Rainforest
1 Mountain
1 Polluted Delta
1 Scalding Tarn
1 Seat of the Synod
1 Steam Vents
1 Swamp
1 Tolaria West
1 Underground Sea
1 Urborg, Tomb of Yawgmoth
1 Vault of Whispers
1 Verdant Catacombs
1 Volcanic Island
1 Watery Grave
1 Wooded Foothills
The main way to go is to cast Ad Nauseam and win from there, or to cast a Mind's Desire with storm at about 10-20. You can kill them in other ways, however. It is easy to win with PiF/Yawg Win or off the back of a Necropotence.
Mana Geyser is terrible.
Tinker is banned using any banlist.
Simian Spirit Guide and Seething Song might not be the best rituals here - both are 3cc, which means ad naus and bob flips will really hurt, and of course red is not your primary color.
For my Grixis storm list I use Gwendlyn Di Corci as my general, as the discard ability really adds up, and Crosis is too slow.
Goblin Welder isn't the most fantastic option.
D7s like Wheel of Fortune, Reforge the Soul, and Memory Jar go a long way towards having a solid plan B storm route should ad naus be countered.
Gitaxian Probe!
And as said above, no Manamorphose.
EDH:
RNorin the WaryR <-Link! (Primer - Mono Red Control)
GUEdric, Spymaster of TrestUG <- Link! (Mini-Primer - Dredge)
Duel Commander:
WUGeist of Saint TraftUW <- Link! (Aggro-Control)
BGSkullbriar, the Walking GraveGB <- Link! (Aggro)
BUGDamia, Sage of StoneGUB <- Link! (Extinction Control)
Church of the Wary
Must have brainfarted on Morphose and Tinker
I don't know if are attached to playing URB storm as UBW storm (although it has less storm cards) can play Zur as a general to find necro which is a solid plan b. There is a thread on the source named Bryant's Pile of Broken which contains both UBW and UBR storm lists.
BRWC Mardu Shops - Tymna and Akiri Artifacts BRWC