Here is the full list of all 40 Fights in Tight Spaces achievements.
Win a run using the Grappler deck
Encounter and defeat all 3 lieutenants in The Insiders mission
Win a run using the Counter deck
Get 100 enemies killed by other enemies
Complete a full run (all missions)
Win a run using the Slasher deck
Complete a run without losing an Informant or Ambassador
Encounter and defeat all 2 lieutenants in the Renegade Agents mission
Complete the iCompleti mission
Deal 100 damage in a single attack
Deal 50 damage in a single hit
Win a fight with 1 HP remaining
Encounter and defeat all 3 lieutenants in the Jade Staff mission
Encounter and defeat all 3 lieutenants in the Death's Head Biker Gang mission
Win a fight without using any movement cards
Complete the Jade Staff mission
Complete the Insiders mission
Complete the Death's Head Biker Gang mission
Win a boss fight without taking any damage
Complete the Section 11 Training
Complete a full run on Purist difficulty
Complete a Daily Play
Win a run using the Balanced deck
Win a run using the Aggressive deck
Win a run using the Trickster deck
Win a run with 16 or fewer cards in your deck at the end of the run
Win a run with at least 50 cards in your deck at the end of the run
Win a run in under an hour
Win a run without upgrading any cards
Encounter and defeat all 3 lieutenants in the i Completi mission
Win a fight without playing an Attack card
Win a fight by throwing ALL enemies into the void
Get a 20 combo
Throw 100 enemies out of the board
Get the Ambassador to kill someone
Kill an enemy with Pocket Sand
Hit an enemy with a stun dart in front of the dartboard in the bar
Have £1,000 at any stage in the game
Unlock all cards in the compendium
Unlock all cards and help screens in the compendium