The following achievements can be unlocked by completeing the task listed for them

Achievement	How to unlock
Ask Me About Mustache Mode	Enable Mustache Mode
Better Off Dead	Get a streak of over 10 in I, Zombie Endless
China Shop	Get to a streak of 15 in Vasebreaker Endless
Cryptozombologist	Discover the top secret zombie
Explodonator	Blow up 10 zombies with a single cherry bomb
Home Lawn Security	Complete adventure mode
Immortal	Get to 20 flags in Survival Endless
Morticulturalist	Collect all 49 plants
Nobel Peas Prize	Get the golden sunflower trophy
Spudow!	Blow up a zombie using a potato mine
Towering Wisdom	Grow the Tree of Wisdom to 100 feet
Walk This Way	Hypnotize the lead dancer zombie