Here is the full list of all 115 Time Warpers achievements.
Collect 100 Red Butterflies
Defeat 1,000 Bosses (Hordes or Big Bosses)
Collect 10 Blue Butterflies
Defeat a Horde in 5 seconds
Defeat Zone 100
Collect 50 Rainbow Butterflies
Defeat 100 K Enemies
Defeat Zone 50
Defeat 10,000 Enemies
Defeat 100 Bosses (Hordes or Big Bosses)
Defeat Zone 25
Defeat a Horde in 10 seconds
Defeat a Big Boss in 1 second
Defeat a Big Boss in 20 seconds
Defeat a Big Boss in 15 seconds
Defeat a Big Boss in 10 seconds
Defeat a Big Boss in 5 seconds
Defeat a Horde in 15 seconds
Defeat Zone 10
Defeat a Horde in 20 seconds
Defeat Zone 200
Defeat Zone 350
Defeat Zone 550
Defeat Zone 750
Defeat Zone 950
Defeat Zone 1,150
Defeat Zone 1,350
Defeat Zone 1,550
Defeat Zone 1,850
Defeat Zone 2,150
Defeat Zone 2,450
Defeat Zone 2,750
Defeat Zone 3,000
Defeat Zone 3,500
Defeat Zone 4,000
Defeat Zone 5,000
Defeat 500 Zones Per Hour
Defeat 1,000 Zones Per Hour
Defeat 2,000 Zones Per Hour
Defeat 3,000 Zones Per Hour
Defeat 4,000 Zones Per Hour
Defeat 1 M Enemies
Defeat 10 M Enemies
Defeat 50 M Enemies
Defeat 10,000 Bosses (Hordes or Big Bosses)
Defeat 100 K Bosses (Hordes or Big Bosses)
Defeat 1 M Bosses (Hordes or Big Bosses)
Defeat a Horde in 1 second
Collect 100 Time Cubes
Collect 250 Time Cubes
Collect 500 Time Cubes
Collect 750 Time Cubes
Collect 1,000 Time Cubes
Collect 2,500 Time Cubes
Collect 5,000 Time Cubes
Collect 7,500 Time Cubes
Collect 10,000 Time Cubes
Collect 25,000 Time Cubes
Collect 50,000 Time Cubes
Collect 75,000 Time Cubes
Collect 100 K Time Cubes
Collect 250 K Time Cubes
Collect 500 K Time Cubes
Collect 750 K Time Cubes
Collect 1 M Time Cubes
Collect 2 M Time Cubes
Collect 5 M Time Cubes
Collect 10 M Time Cubes
Collect 10 Time Cubes Per Minute
Collect 100 Time Cubes Per Minute
Collect 500 Time Cubes Per Minute
Collect 1,000 Time Cubes Per Minute
Collect 10,000 Time Cubes Per Minute
Collect 100 Time Cubes in a single run
Collect 1,000 Time Cubes in a single run
Collect 10,000 Time Cubes in a single run
Collect 100 K Time Cubes in a single run
Collect 1 M Time Cubes in a single run
Collect 250 Red Butterflies
Collect 1,000 Red Butterflies
Collect 2,500 Red Butterflies
Collect 5,000 Red Butterflies
Collect 25 Blue Butterflies
Collect 100 Blue Butterflies
Collect 250 Blue Butterflies
Collect 500 Blue Butterflies
Collect 125 Rainbow Butterflies
Collect 500 Rainbow Butterflies
Collect 1,250 Rainbow Butterflies
Collect 2,500 Rainbow Butterflies
Complete 10% of Time Cube Research
Complete 20% of Time Cube Research
Complete 30% of Time Cube Research
Complete 40% of Time Cube Research
Complete 50% of Time Cube Research
Complete 60% of Time Cube Research
Complete 70% of Time Cube Research
Complete 80% of Time Cube Research
Complete 90% of Time Cube Research
Complete 100% of Time Cube Research
Collect all 4 Twos in a single run
Collect all 4 Threes in a single run
Collect all 4 Fours in a single run
Collect all 4 Fives in a single run
Collect all 4 Sixes in a single run
Collect all 4 Sevens in a single run
Collect all 4 Eights in a single run
Collect all 4 Nines in a single run
Collect all 4 Tens in a single run
Collect all 4 Jacks in a single run
Collect all 4 Queens in a single run
Collect all 4 Kings in a single run
Collect all 4 Aces in a single run
Collect half a deck (26 Cards) in a single run
Collect the full deck (52 Cards) in a single run