Here is the full list of all 43 Plants vs. Zombies trophies - there are 28 bronze, 12 silver, 2 gold and 1 platinum.
Complete Adventure mode a second time.
Discover the Yeti zombie.
Crush 5 zombies with a single Squash.
Complete a daytime level by planting only Mushrooms and Coffee Beans.
Defeat a normal roof level without using any Catapult plants.
Survive 40 waves of pure zombie ferocity
Accumulate 8,000 sun during a single level.
Complete a daytime pool level without using Pea-shooters of any kind.
Plant a Winter Melon on every lane.
Keep 10 Twin Sunflowers alive in a single level.
Grow 10 Zen Garden plants to full size
Immobilize 20 full-sized zombies with a single Ice-shroom.
Complete a level using only explosive plants to kill zombies.
Upgrade all your plants in Beghouled
Go trunk diving and spend at least $25,000 on Crazy Dave's Twiddydinkies
Complete adventure mode
Defeat your first Gargantuar
Get 3 of a kind in Slot Machine
Survive the zombie onslaught after all lawnmowers have been used
Kill 10 zombies with a single lawn mower.
Complete an extremely foggy level without using Planterns or Blovers.
Bowl over 5 zombies with a single Wall-nut.
Blast 10 zombies at once with a Cherry Bomb!
Pick up 30 coins in a row on a single level without letting any disappear.
Defeat the last zombie in a level with a lawn mower.
Complete a nighttime level without planting any Mushrooms.
Stop the horde using only the Sunflower, Wall-Nut, and Chomper on any level
Blow up a zombie using a Potato Mine.
Plant your first 10 peashooters
You've won every trophy, climbed every mountain, defeated every zombie, planted every plant. Congratulations!
Collect all 49 plants in the game
Grow the Tree of Wisdom to at least 100 feet
Defeat 2 Gargantuars with Corn Cob missiles in a single level.
Feel the rhythm, feel the rhyme, you've one level to destroy 3 bobsleds, it's Jalapeno time!
Build 5 Cob Cannons in a single level.
Complete a pool level without using water plants.
Complete Column Like You See'em without using Jalapenos
Collect all Zen Garden, Mushroom Garden and Aquarium Garden plants
Complete ZomBotany without using Wall-nuts, Tall-nuts or Pumpkins.
Beat all 20 mini games
Complete Seeing Stars before the first Flag Zombie appears
Complete Last Stand with 2,000 sun remaining
Complete Pogo Party without using Tall-Nuts or Magnet-shrooms