Here is the full list of all 18 Tigey's Gift achievements.
You beat the hi-score and unlock June Story
You beat the hi-score and unlock May Story
You beat the hi-score and unlock April Story
You beat the hi-score and unlock march story
You beat the hi-score and unlock July Story
You beat the hi-score and unlock August Story
You beat the hi-score and unlock September Story
You beat the hi-score and unlock October Story
You beat the hi-score and unlock November Story
You pet Tigey for 20 times in a single run.
Your fever combo reach 150!!
Stay in ultra fever time for more than 180 seconds in a single run!!
Tigey drinks enough water and pass her waste for 5 times in a single run!!
Tigey enjoys catnip and have a nice dream for more than 900 seconds in a single run!!
Tigey eats enough tin and grows fat for more than 600 seconds in a single run!!
You pet Tigey and she feels calm for more than 600 seconds in a single run!!
You played with Tigey and she exercises a lot. Trigger Cat shotgun for more than 10 times in a single run!!
You beat the developer's hi-score: 189,652,983