Here is the full list of all 15 Toki Tori 2+ trophies - there are 13 bronze, 1 silver and 1 gold.
Activate all landing beacons
Collect all the collectibles
Sing all melodies
Discover the statue of Tokity
Take every picture in the TokiDex
Find the dark room
Get to the end of the obstacle course
Make two raged porcupines collide with each other
Get stuck in an infinite warp loop
Transport all ancient frogs without visiting the city
Scoop up a jumping Berrybug with a Hermitcrab
Make a Berrybug jump up in a bubble
Call the map bird but don't let it pick you up
Catch a frog in its own bubble
Get rid of all the birds in the tiny ancient frog level