Here is the full list of all 52 Bloons Monkey City achievements.
Win 1 Contested Territory
Capture 10 pieces of land of any kind
Pop 100,000,000 bloons of any type
Enable all bloon types for Monkey v Monkey, including all MOAB classes
Pillage $10,000 from other players
Pillage $500,000 from other players
Revenge 25 Monkey v Monkey attacks
Revenge 500 Monkey v Monkey attacks
Successfully defend against 100 Monkey v Monkey attacks
Successfully defend against 2,500 Monkey v Monkey attacks
Successfully defend against 3 Monkey v Monkey attacks in a row
Successfully defend against 10 Monkey v Monkey attacks in a row
Win 10 Monkey v Monkey attacks in a row
Capture 250 pieces of land of any kind
Capture 500 pieces of land of any kind
Capture 2000 pieces of land of any kind
Capture 100 river or lake squares
Capture 100 mountain or volcano squares
Get 10 treasure chests on a single map
Capture one of each: Wattle Trees, Tranquil Glade, Glacier, Shipwreck, Sticky Sap Plant, Phase Crystal, Temple Ruins, and MOAB Graveyard
Supply your city with a total of 1,000 power
Crank up to 5,000 total power for your city
Have 100 monkeys ready for duty in the My Monkeys panel
Have built simultaneously at least 1 of every Base, Upgrade, Special, MvM, and Resource building available
Build up a bank balance of $10,000 City Cash
Build up a bank balance of $200,000 City Cash
Destroy 1,000 MOABs
Destroy 10,000 MOABs
Destroy 10,000 DDTs
Destroy 10,000 BFBs
Destroy 10,000 ZOMGs
Pop 1,000,000 Lead Bloons
Pop 1,000,000 Ceramic Bloons
Pop 1,000,000 Camouflage Bloons
Reach 50 City Honor
Reach 100 City Honor
Reach 300 City Honor
Reach 600 City Honor
Reach 1000 City Honor
Reach 1500 City Honor
Reach 2100 City Honor
Reach 2800 City Honor
Reach 3600 City Honor
Reach 4500 City Honor
Reach 5500 City Honor
Reach 7500 City Honor
Reach 10000 City Honor
Participate in 10 Contested Territories
Win 5 Contested Territories
Win 10 Contested Territories
Win 20 Contested Territories