Search and Destroy
Meltdown Mayhem - None
Blind Justice - Time Limit, Protective Aura
Police Brutality - Replenishing Health

Street Justice
Rooftop Rumble - One Hand Tied
Natural Selection - Decreased Health, Takedown Projectiles
Survival of the Fittest - None

Offensive Manuevers
Funhouse Brawl - Danger Zones, Replenishing Health
End of the Line - Free Medal
Hell's Gate - Scattered Weapons

City Invader
Top of the World - None
Prison Riot - Increased Aggression, Decreased Health, Gadget Malfunction
Lost City - Super Powered

Midnight Assault
Natural Selection (Extreme) - Replenishing Health, Free Medal
Hell's Gate (Extreme) - Increased Aggression, Scattered Weapons, Danger Zones
Meltdown Mayhem (Extreme) - None

Hostile Takeover
Prison Riot (Extreme) - Time Limit, Decreased Health, Super Powered
Police Brutality (Extreme) - None
Funhouse Brawl (Extreme) - One Hand Tied, Protective Aura

Double Jeopardy
Lost City (Extreme) - Scattered Weapons
Rooftop Rumble (Extreme) - Increased Aggression, Protective Aura, Gadget Malfunction
End of the Line (Extreme) - Takedown Projectiles, Free Medal
* - I use the Free Medal on End of the Line (Extreme) since restarting on Lost City doesn't cost a Retry since it's the first map

Ruthless Vengeance
Survival of the Fittest (Extreme) - Time Limit, Decreased Health, Gadget Malfunction
Top of the World (Extreme) - Super Powered
Blind Justice (Extreme) - One Hand Tied, Danger Zones

Combat Expert
Survival of the Fittest - Time Limit, Danger Zones
Funhouse Brawl - Increased Aggression, Replenishing Health
Prison Riot - None

Predator Expert
Meltdown Mayhem - Gadget Malfunction, Scattered Weapons
Lost City - One Hand Tied
Top of the World - Takedown Projectiles
* - You don't need to do any Silent Takdowns for Lost City

Combat Master
Blind Justice (Extreme) - Decreased Health, Gadget Malfunction
Rooftop Rumble (Extreme) - Scattered Weapons, Protective Aura, Super Powered
Hell's Gate (Extreme) - One Hand Tied
* - Protective Aura and Super Powered sort of cancel each other out in the sense that one's annoying while the other makes it a lot easier

Predator Master
Police Brutality - Time Limit, Scattered Weapons
Natural Selection - Increased Aggression, Protective Aura
End of the Line - Danger Zones, Free Medal

Here are the dates you can visit him in 2011:
January 1 - New Year's
February 14 - Valentine's Day
March 17 - St. Patrick's Day
April 1 - April Fool's Day
May 8 - Mother's Day
June 19 - Father's Day
July 4 - Fourth of July
August 16 - St. Roch's Day
September 5 - Labor Day
October 31 - Halloween
November 24 - Thanksgiving
December 25 - Christmas

Here's 2012 also:
January 1 - New Year's Day
February 14 - Valentine's Day
March 17 - St. Patrick's Day
April 1 - April Fool's Day
May 13 - Mother's Day
June 17 - Father's Day
July 4 - Fourth of July
August 16 - St. Roch's Day
September 3 - Labor Day
October 31 - Halloween
November 22 - Thanksgiving
December 25 - Christmas

1 Strike
2 Stun
3 Evade/Redirect
4 Counter
5 Special Combo Takedown +
6 Special Combo Bat Swarm +
7 Special Combo Disarm and Destroy +
8 Special Combo Multi-Ground Takedown +
9 Aerial Attack + +
10 Beat Down Finisher + (x8)
11 Ultimate Stun (x3)
12 Ground Pound +
13 - ใช้ Gadget 1 ครั้ง

Batarang
Freeze Blast+
Batclaw+
REC+
Explosive Gel+(x2)