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