The Chairman
VS
Tachyon
America's Greatest Legacy
The Eternal Haka
Nightmist
The Visionary
IN
Megalopolis
THE VISIONARY!!!!!
YES!
(With apologies to mr. Pike, this one is over before it begins.)
I'll take AG Legacy.
Bolster Allies, Surge of Strength, Fortitude, "Thokk!"
I'll take Tachyon.
Opening hand: Hypersonic Assault, Synaptic Interruption, Sucker Punch, Blinding Speed
I'll go Haka again.
Opening hand: Taiaha, Haka of Restoration, Enduring Intercession, Ta Moko
Nightmist for me! opening hand tbd
Round One
The Chairman - Master of the Underworld (35)
The Operative - Assassin (45)
In Play:
Trash: Thief x2, Informant x2, Crooked Cop x2, Hired Gun x2, Enforcer x2
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Start of Turn:
Play a Card: Perfect Human Specimens. Pleh.
End of Turn: The Operative summons The Deputy.
The Deputy summons a Crooked Cop.
PLEH.
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The Chairman - 35
The Operative - 45
In Play: The Deputy - 9
Crooked Cop - 5
Trash: Thief x2, Informant x2, Crooked Cop, Hired Gun x2, Enforcer x2, Perfect Human Specimens.
Effects: ST: Underboss in the trash? Flip the Chairman!
ET: Reveal cards from deck until Underboss revealed. Put it into play.
ET: Move a Crooked Cop from the trash into play.
The Chairman is immune to damage.
The heroes cannot win the game.
Whenever a villain card is destroyed, The Operative deals the highest-HP hero 3 melee damage.
Reduce damage to the Chairman and the Operative by 2. Reduce damage to Underbosses by 1.
Hero HP: Tachyon - 27, Legacy - 30, Haka - 33, Nightmist - 27, Visionary - 27
Tachyon
The Quickest woman on Earth!
HP: 24
Hand: Hypersonic Assault, Sucker Punch (x2), Blinding Speed, Accelerated Assault
In play:
Trash: Lightning Reflexes, Synaptic Interruption
[hr]
Start of hero turn:
Play a card: Sucker Punch. Take a swing at the air.
Use a power: Rapid Recon. Reveal Synaptic Interruption and discard it.
Draw a card: HUD Goggles
End of hero turn:
[hr]
HP: 24
Hand: Hypersonic Assault, Sucker Punch, Blinding Speed, Accelerated Assault, HUD Goggles
In play:
Trash: Lightning Reflexes, Synaptic Interruption (B) (×2), Sucker Punch (B)
Additional effects:
[hr]
EDIT: Killing the Hired Gun rather than the Informant with Sucker Punch. EDIT × 2: Actually, saving the Synaptic Interruption. EDIT ×3: No, I need the Synaptic Interruption to kill the Informant without playing a card, per ruling in another thread.
America's Greatest Legacy
HP: 30
Hand: Bolster Allies, Surge of Strength, Fortitude, “Thokk!”
In play:
Trash:
Start of hero turn:
Play a card: Bolster Allies: each player draws a card; draw The Legacy Ring
Use a power: Gung-Ho: The Eternal Haka regains 1 HP and may use a Power now.
Draw a card: Flying Smash
End of hero turn:
HP: 30
Hand: Surge of Strength, Fortitude, “Thokk!”, The Legacy Ring, Flying Smash
In play:
Trash: Bolster Allies
Additional effects:
Each player draws a card
Haka may use a power now
The Eternal Haka
Draw Dominion from Bolster Allies
Power from Gung-Ho: Haka of Knowledge - draw Mere; discard Haka of Restoration to draw Rampage and Ground Pound.
HP: 33
Hand: Mere, Taiaha, Rampage, Enduring Intercession, Ground Pound, Ta Moko, Dominion
Play:
Trash:
Effects:
[hr]
Start:
Play: Ta Moko
Power: Haka of Knowledge - draw Vitality Surge
Draw: Elbow Smash
End:
[hr]
HP: 33
Hand: Mere, Taiaha, Rampage, Enduring Intercession, Ground Pound, Vitality Surge, Elbow Smash, Dominion
Play: Ta Moko
Trash: Haka of Restoration
Effects: Damage dealt to Haka is reduced by 1
I'm planning to Rampage next turn - I want to have some DR in place for Operative's retaliation.
Did you draw for the Bolster?
Nope. I missed it. I'll edit my turn, but not change any actions.
Figured Bolster was a good start, then feeding you more cards. For the DR you want, I can drop Fortitude, but I don't think it will help you any. 
I draw Accelerated Assault from Bolster Allies.
Alternately, I can wait to Rampage until we get more baddies out there, but we won't be able to do much damage with the Crooked Cops. I guess it comes down to when do we want to flip the Chairman?
Nightmist
Opening Hand: Master of Magic [3], Heedless Lash [3], Scouring Mists [4], Tome of Elder Magic [4]
Drew Enlightenment [3] from Bolster Allies
HP: 27
Hand: Master of Magic[3], Heedless Lash [3], Scouring Mists [4], Tome of Elder Magic[4], Enlightenment [3]
Play:
Trash:
Effects:
Start:
Play: Master of Magic
Power: Investigation: I take 2 infernal damage [25] and draw Elder Ring [1] and Heedless Lash [2]
Draw: Oblivion [2]
End:
HP: 25
Hand: Heedless Lash (x2) [3, 2]; Scouring Mists [4]; Tome of Elder Magic [4]; Enlightenment [3]; Elder Ring [1]; Oblivion [2]
Play: Master of Magic [3]
Trash:
Effects: Whenever Nightmist plays a Spell card, she regains hp equal to that card's * value.
VISIONARY
HP: 26
In Play:
In Hand: Demoralization, Mind Spike(2), Suggestion.
Trash:
-------------------------
Start of Turn:
Play a Card: Suggestion Put Informant on top and Hired Gun on the bottom of the deck.
Use a Power: Enlighten Visionary draws Telekinetic Cocoon and Twist the Ether, discard Telekinetic Cocoon.
Draw a Card: Decoy Prejection
End of Turn:
-------------------------
HP: 26
In Play:
In Hand: Decoy Projection, Demoralization, Mind Spike(2), Twist the Ether
Trash: Suggestion, Telekinetic Cocoon
...you're short a draw. Bolster Allies was played.
Megalopolis
In Play:
Trash:
--------------------------------------------------------
Start of Turn:
Play a Card: Targeting Innocents enters play.
End of Turn:
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In Play: Targeting Innocents - 10
Trash:
Effects: ST: Targeting Innocents deals each hero target 4 fire damage, then pulls Impending Casualty from the trash.
Round Two
The Chairman - Master of the Underworld (35)
The Operative - Assassin (45)
In Play: The Deputy - 9
Crooked Cop - 5
Trash: Thief x2, Informant, Crooked Cop, Hired Gun, Enforcer x2, Perfect Human Specimens
--------------------------------------------------------
Start of Turn:
Play a Card: Informant enters play.
End of Turn: The Operative summons The Contract.
The Deputy summons a Crooked Cop.
The Contract deals Haka 2 projectile damage [31], and summons a Hired Gun.
Hired Gun deals 3 projectile damage to each hero target (Tachy reflects her hit onto the Informant, who dies, and the Operative deals Haka net 3 melee damage [26].)
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The Chairman - 35
The Operative - 45
In Play: The Deputy - 9
Crooked Cop - 5
Crooked Cop - 5
The Contract - 7
Hired Gun - 3
Trash: Thief x2, Informant x2, Enforcer x2, Perfect Human Specimens.
Effects: ST: Underboss in the trash? Flip the Chairman!
ST: All Crooked Cops regain 3HP.
ET: Reveal cards from deck until Underboss revealed. Put it into play.
ET: Move a Crooked Cop from the trash into play.
ET: Deal 2 projectile damage to the hero with the highest HP.
ET: Move a Hired Gun from the trash into play.
ET: Hired Gun deals each hero target 2 projectile damage.
The Chairman is immune to damage.
The heroes cannot win the game.
Whenever a villain card is destroyed, The Operative deals the highest-HP hero 3 melee damage.
Reduce damage to the Chairman and the Operative by 3. Reduce damage to Underbosses by 2.
Increase damage dealt to hero targets by 1.
Hero HP: Tachyon - 27, Legacy - 27, Haka - 26, Nightmist - 24, Visionary - 24