Here is the full list of all 21 Plants vs. Zombies GOTY Edition achievements. It takes around 40-50 hours to unlock all of the achievements on Windows.
Defeat 2 Gargantuars with Corn Cob missiles in a single level.
Discover the top secret zombie
Enable Mustache Mode
Complete a daytime level by planting only Mushrooms and Coffee Beans.
Get the golden sunflower trophy
Beat all 20 mini games.
Get to 20 flags in Survival Endless
Pick up 30 coins in a row on a single level without letting any disappear.
Blow up 10 zombies with a single cherry bomb
Get to a streak of 10 in I, Zombie Endless
Get to a streak of 15 in Vasebreaker Endless
Grow the Tree of Wisdom to 100 feet
Collect all 49 plants
Complete adventure mode
Bowl over 5 zombies with a single Wall-Nut.
Defeat a normal roof level without using any catapult plants.
Hypnotize the lead dancer zombie
Complete a daytime pool level without using pea shooters of any kind.
Blow up a zombie using a potato mine
Complete a nighttime level without planting any Mushrooms.
Get 8000 sun during a single level.