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