Here is the full list of all 13 WWE 2K Battlegrounds trophies - there are 9 bronze, 3 silver and 1 gold.
Win a Royal Rumble match against 30 opponents in normal difficulty or higher
Win a Royal Rumble match with 20 opponents
Complete the Wrestlemania event
Unlock the "Thunderstorm" Power Up
Control the ram and feed your opponent to the alligator
Unlock the Everglades battleground
Perform 20 taunts
Win a Gauntlet match against 5 opponents or more
Perform 20 signature moves
Pick up a motorcycle and a turnbuckle
Fill the crowd bar
Win a Steel Cage match
Perform a pin successfully