Here is the full list of all 13 Tobe's Vertical Adventure achievements.
Nana escapes each of the crumbling Grand Pyramid within a total of 145 seconds
Clear Nana's Story Mode
Nana escapes each of the crumbling Phoenix Cave within a total of 95 seconds
Nana escapes each of the crumbling Frozen Cavern within a total of 90 seconds
Nana escapes each of the crumbling Mystic Caves within a total of 115 seconds
Tobe escapes each of the crumbling Grand Pyramid with all treasures and animals within a total of 190 seconds
Tobe escapes each of the crumbling Phoenix Cave with all treasures and animals within a total of 145 seconds
Tobe escapes each of the crumbling Frozen Cavern with all treasures and animals within a total of 130 seconds
Tobe escapes each of the crumbling Mystic Caves with all treasures and animals within a total of 120 seconds
Clear Tobe's Story Mode
Collect All Treasures With Any Character
Clear Co-Op Story Mode
Rescue All Animals With Any Character