Here is the full list of all 38 Toki Tori 2+ achievements.
Zap at least 6 types of creatures
Catch a frog in its own bubble
Photograph a ghost
Transport all ancient frogs without visiting the city
Take every picture in the TokiDex
Crush at least 10 different types of creatures
Lavaaaaaargh!
Find the dark room
Find the rose
Discover the statue of Tokity
Get to the end of the obstacle course
Activate all gates
Collect the wings
Collect all the collectibles
Fill all collectible deposits
Get rid of all the birds in the tiny ancient frog level
Scoop up a jumping Berrybug with a Hermitcrab
Visit the beach
Transport all ancient frogs
Transport the tiny ancient frog to the crystal room
Activate all landing beacons
Transport the invisible ancient frog to the crystal room
Transport the upside down ancient frog to the crystal room
Make a Berrybug jump up in a bubble
Dance in the disco
Transport the lava ancient frog to the crystal room
Transport the giant ancient frog to the crystal room
Get stuck in an infinite warp loop
Make two raged porcupines collide with each other
Escape a collapsing bridge
Climb a pole
View at least 7 of the island's main attractions from a bird's-eye view
Discover the crystal room
Launch the escape Bubblecraft
Let the bats kill all creatures in that one cave in the water mountain
Call the map bird but don't let it pick you up
Sing all melodies
Whistle SOS