Here is the full list of all 18 The Food Run achievements.
Hit 500 arrows
Collect all the stop signs on level 3-5
Eat 500 pieces of food
Complete your first area
Complete your first level
View the credits screen
Achieve at least one star on every level
Achieve at least two stars on every level
Achieve at least three stars on every level
Eat 1000 pieces of food
Eat 2500 pieces of food
Eat 5000 pieces of food
Hit 250 stop signs
Push 250 crates
Hit 250 direction changers
Eat 10000 pieces of food
Complete level 4-6 without pushing any crates
Collect all the arrows on level 6-6