I know this is an old topic. But I wanted to share my ideas for DC characters in a MPQ-style game.
Batman (Arkham) 


Hidden Predator
Batman disappears into the shadows to deliver a stealthy attack. Places a random black Trap Tile. Batman is invisible for as long as the Trap Tile is active. If the tile is matched by the enemy team, Batman deals heavy damage to the active enemy. if his own team matches it, Batman instead throws a flurry of Batarangs, dealing minor damage to the enemy team.

Master Detective
Batman is the world’s greatest detective, and uses his skills to find out enemy weak points. Creates yellow Strike Tiles.
Passive: His team can see enemy Trap Tiles.

The Dark Knight
Batman attacks his enemies with expert martial arts. Places a Countdown tile. For as long as the Countdown Tile is active, Batman deals increased damage from matches and is always the one to deal damage. When he is damaged he deals damage to the attacker.
The Joker 



Gotcha!
The Joker puts a gun in his enemy’s face and pulls the trigger…which causes a BANG!-flag to pop out. The initial fright causes the enemy team to lose random AP, and places a 4-Turn purple Countdown Tile. As long as the Countdown Tile is active, The Joker’s Purple Power becomes The Killing Joke.

The Killing Joke
The Joker pulls the trigger again, launching the BANG!-flag like a spear at his enemy. Deals damage and destroys the Countdown Tile.

The Harlequin of Hate
The Joker destroys all that his enemy cares about to launch them into a psychotic rage. Destroys all enemy Special Tiles and makes them lose AP, but creates 3 Strike Tiles for them.

Carnival of Carnage
The Joker spreads his own demented form for comedy, not caring who gets hurt in the process. Damages enemies and allies, and creates random Protect, Strike and Attack Tiles for both teams.
Superman 



Freeze Breath
Superman blows to create a terrifying blizzard that freezes his enemies. Damages and Stuns the entire enemy team.

Laser Vision
Superman glares and releases a concentrated laser beam from his eyes. Destroys a 3x3 block and deals damage.

Man of Steel
Superman gathers power from Earth’s yellow sun. Places a yellow Countdown Tile that activates every turn, creating a random Strike and Protect Tile.