Here is the full list of all 31 Force Reboot achievements.
First time, huh?
Complete first stage
Complete second stage
Pick "No Buff"
Finish first stage under 3 minutes
Reflect 20 bullets
To Infinity...and Beyond!
Pick "4 Guns"
Finish second stage under 6 minutes
Reboot 25 times
5 Loops
Get Through 5 Loops in Endless Mode
10 Loops
One click achievement
Better than original
Survive 5 waves
Survive 10 waves
Finish Rush Mode
Finish Rush Mode Under 3 Minutes
Finish Rush Mode First Stage Under 1 Minute
Finish Rush Mode Third Stage Under 6 Minutes
Finish Rush Mode Third Stage
Finish Rush Mode First Stage
Complete Third Stage
Finish Third Stage Under 8 Minutes
Finish First Floor Under 15 Seconds
Finish The Game With Pistol Only
Survive 25 Waves in Arena Mode
Survive 50 Waves in Arena Mode
Get Through 50 Loops in Endless Mode
Get All Weapons In a Single Run