Here is the full list of all 23 Ghostbusters trophies - there are 11 bronze, 2 silver, 9 gold and 1 platinum.
Earn A rankings on all levels
Get 1 character to level 20
Complete a single remix level
Complete Limbo level
Collect all of Rowans ghostly devices
Complete both Queen Charlotte levels
Complete both 13th St. Station levels
Get 1 character to level 10
Complete both Wavering Hills Asylum levels
Complete both St. Lou's Cemetery levels
Purchase a single upgrade for any character
Get 1 character to level 5
Get the 10X bonus on the trapping mini-game
Earn 500,000 Ecto
Get 25 Co-Op assists in a single level
Earn 100,000 Ecto
Complete a single level with 4 players
Get an A ranking on a single level
Complete the Aldridge Manor level
Get all trophies
Fully upgrade a single character
Fully upgrade all 4 characters
Get all 4 characters to level 20