Here is the full list of all 19 Big Crown: Showdown trophies - there are 17 bronze and 2 silver.
Get your first shield deflection knock-out
Complete a round without punching
Knock the Knights TV into the portal
Make a custom game
Purchase your first hat
Win your first game
Complete a Local Multiplayer match
Complete your first game
Get your first knock-out
Be the last one alive but don't cross the finishing line
Collect all of the coins from a treasure chest
Collect your first coin.
Unlock all original and Christmas hats
Complete an Online Multiplayer match
Play with 4 people online
Play with 4 people locally
Join a custom game
Knock 1000 objects off the track
Run a Marathon (26.2 miles)