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