Here is the full list of all 41 Fights in Tight Spaces trophies - there are 27 bronze, 9 silver, 4 gold and 1 platinum.
Obtain all other Trophies
Complete the Insiders mission
Complete the Jade Staff mission
Complete the iCompleti mission
Complete a full run (all missions)
Complete a full run on Purist difficulty
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
Encounter and defeat all 2 lieutenants in the Renegade Agents mission
Complete a Daily Play
Complete the Section 11 Training
Get the Ambassador to kill someone
Complete a run without losing an Informant or Ambassador
Get a 20 combo
Win a run without upgrading any cards
Deal 50 damage in a single hit
Deal 100 damage in a single attack
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 fight with 1 HP remaining
Unlock all cards and help screens in the compendium
Unlock all cards in the compendium
Have £1,000 at any stage in the game
Win a run in under an hour
Throw 100 enemies out of the board
Win a fight without playing an Attack card
Win a boss fight without taking any damage
Get 100 enemies killed by other enemies
Kill an enemy with Pocket Sand
Win a fight by throwing ALL enemies into the void
Win a fight without using any movement cards
Hit an enemy with a stun dart in front of the dartboard in the bar
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
Complete the Death's Head Biker Gang mission