Here is the full list of all 13 Pool Nation trophies - there are 9 bronze, 3 silver and 1 gold.
Win First Star in Tour
Win First Bonus Match in Tour
Win 8 Ball Tour
Obtain all 298 stars
Win One Game in Each Rule Set
Win 9 Ball Tour
Win Online Tournament
Win Online Match
First Win Against AI in Versus
Reach 4 minutes in Endurance
Reach 20 minutes in Endurance
50 ball streak in Endurance
Earn 10000 points in one skill shot