Here is the full list of all 35 Time Rifters achievements.
Destroy 50,000 enemies with the Particle Ball
Complete 50 Daily Challenges
Destroy 50,000 enemies with the Scatter Pistol
Destroy 50,000 enemies with rockets
Destroy 50,00 enemies with the Spread Rifle
Destroy 50,000 enemies with the Flak Cannon
Destroy 50,000 enemies with the Plasma Beam
Complete 10 Daily Challenges
Destroy 5,000 enemies with the Scatter Pistol
Destroy 5,000 enemies with the Flak Cannon
Destroy 5,000 enemies with rockets
Get 100% on Episode 3
Escape every arena in Episode 3
Unlocked Experiment mode for Episode 3
Destroy 5,000 enemies with the Spread Rifle
Destroy 5,000 enemies with the Particle Ball
Get 100% on Episode 2
Escape every arena in Episode 2
Unlocked Experiment mode for Episode 2
Create & Upload a Custom Arena
Create & Upload a Challenge Room
Play a Custom Arena
Destroy 5,000 enemies with the Plasma Beam
Escape every arena in Episode 1
Get 100% on Episode 1
Complete a Let's Replay on any Episode
Record a Let's Replay on any Episode
Destroy 500 enemies with the Flak Cannon
Complete 1 Daily Challenge
Destroy 500 enemies with the Spread Rifle
Destroy 500 enemies with rockets
Unlocked Experiment mode for Episode 1
Destroy 500 enemies with the Particle Ball
Destroy 500 enemies with the Plasma Beam
Destroy 500 enemies with the Scatter Pistol