Here is the full list of all 40 Fights in Tight Spaces achievements.
Complete a full run (all missions)
Encounter and defeat all 2 lieutenants in the Renegade Agents mission
Deal 100 damage in a single attack
Complete the iCompleti mission
Complete the Jade Staff mission
Complete the Insiders mission
Win a fight without using any movement cards
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 Counter deck
Win a run using the Aggressive deck
Win a run using the Slasher deck
Win a run using the Grappler 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
Complete a run without losing an Informant or Ambassador
Encounter and defeat all 3 lieutenants in the Death's Head Biker Gang mission
Encounter and defeat all 3 lieutenants in The Insiders mission
Encounter and defeat all 3 lieutenants in the Jade Staff mission
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
Win a fight with 1 HP remaining
Get a 20 combo
Deal 50 damage in a single hit
Get 100 enemies killed by other enemies
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