The only way out for your opponent is for him to play Door to Nothingness on himself.
If he uses the Door against you, Lich's Mirror resets the entire board and your opponent is once again presented with an untapped Door and the opportunity to make the correct play.
Main-deck Concept
The base deck lets you do anything as much as you want, and you can manipulate the board to any possible state. Stack your sideboard with crazy combos and Research / Development them into your library.
Finally, you can play that stupid, funny combo that would never work in a real deck! Donate a win condition and then break it. Get creative!
Play Channel the Suns. You and your opponent both add WUBRG to your mana pools. Recycle it with an elixir and play it again. Use this loop to add a million mana to each of your pools.
Now we start getting funny with the stack. Most of what's next happens at instant speed, though we will pass priority a couple times to let certain things resolve into play before we take it back.
Phase II - Ludicrous Speed
Activate Staff of Domination to draw a card. Respond by untapping it. Respond to draw... Do this for 7 draws, pushing them down the stack.
With those draws on the stack, play Mirror of Fate and let the spell resolve. Sacrifice it to put its ability on the stack and the card into your graveyard.
Play Cast Through Time, and let it resolve so it hits the battlefield.
Decree of Annihilation resolves and exiles all hands, graveyards, and permanents (Mycosynth Lattice). It also clears the graveyard of sacrifices like the Elf Replica and Mirror of Fate without affecting their outcomes later in stack resolution. Decree was modified to have Rebound when it was cast, so it doesn't go to the graveyard.
After Decree and everything but each players libraries have been exiled, Vedalken Orrery and Door to Nothingness return to the battlefield.
Paradigm Shift (Opponent) resolves and exiles his library. His graveyard is empty from Decree, adding zero cards back in.
Paradigm Shift resolves and exiles your library. Your graveyard is empty from Decree. No cards.
Mirror of Fate resolves. Choose these cards from Exile and shuffle them into your library:
The card draws you pushed at the beginning start to pop off the stack, and you draw your seven-card library. The stack is now empty.
Phase III - "Here's the door. You can show yourself out."
Play all the permanents except for the Oblivion Rings. Donate the door and then Twiddle it untapped.
If your opponent Doors you, respond to the Door by casting the two Oblivion Rings and target the Vedalken Orrery and the Omen machine. When the Door resolves, Lich's Mirror pops leaving the Orrery and Machine on the battlefield after drawing everything else into your hand. Reset the battlefield and give your opponent the opportunity to make the correct play.
Forcing the Win - Only if Necessary
Technically speaking, the only two plays left on the board are Door to Nothingness and Oblivion Ring. The only other way to lose at this point is for either of you to deck yourselves, but Omen Machine puts a stop to that.
If your opponent decides to neither concede or play the Door on himself, but instead repeatedly Doors you, just leverage one of the resets to play the Door on him instead.
If he opts to do nothing, sometime during his upkeep, respond by playing Oblivion Ring on your Omen Machine and the draw will make him lose. If he uses the Door against you in response, respond with the other Oblivion Ring and put it on Vedalken Orrery to trigger the full reset.
The first Oblivion Ring will still be on the stack after the Mirror resolves, so make sure to put the Omen Machine back into play and then exile it when that first Ring finally enters the battlefield. You can still go in circles if you Donate the Door again.
Video Playthrough
1:19 — 5-turn win
5:30 — 5-turn win
9:38 — 8-turn win with 5-card mulligan
12:37 — 4-turn win with 1 land in opening hand
14:46 — 15-turns before winning; what a really bad hand looks like
Changelog
2023-10-24: Reformatted some of the play steps to make it clearer when to let spells resolve or to keep them on the stack. Also turned a few more cards into links to make understanding interactions a little clearer.
I really want to finally acquire all the cards for this deck, but I've been a little limited because I haven't fully decided on what I want for a "final" base. It usually works pretty well, but for the sake of propriety, I wanted to get the 4xSol Ring out of the deck list.
I like the adjustments made to the base deck by FourFangedCow over on DeckBox and decided to add some of them to my base here as well. I think it'll work out pretty nicely!
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