Successfully complete one of the following tasks to get a trophy:

All Seeds 01 (Bronze): Open all seeds in garden 01.
All Seeds 02 (Bronze): Open all seeds in garden 02.
All Seeds 03 (Bronze): Open all seeds in garden 03.
All Seeds 04 (Bronze): Open all seeds in garden 04.
All Seeds 05 (Bronze): Open all seeds in garden 05.
All Seeds 06 (Bronze): Open all seeds in garden 06.
All Seeds 07 (Bronze): Open all seeds in garden 07.
All Seeds 08 (Bronze): Open all seeds in garden 08.
All Seeds 09 (Bronze): Open all seeds in garden 09.
All Seeds 10 (Bronze): Open all seeds in garden 10.
All Gardens Clear (Bronze): Get a Spectra in each garden.
Combo Ten (Bronze): Pollen Prowler combo x 10.
Combo Fifteen (Bronze): Pollen Prowler combo x 15.
The Hundred Thousander (Bronze): Get 100,000 pollen in one garden.
500 Dead Pollen Prowlers (Bronze): 500 Pollen Prowlers killed.
Ten Minute Grimp (Bronze): Get all 5 Spectra from a garden within 10 minutes.
Fifteen Crystals (Bronze): Get fifteen crystals in a single jump.
Zero Wasted Pollen (Bronze): Open all seeds in a garden without missing any pollen.
Three Play Ping Pong (Bronze): In 3p mode, trapeze jump between two swinging Grimps.
All Spectra Found (Silver): Get all the Spectra in all gardens.

The following trophies require the "Encore" bonus downloadable content:

Encore: 3 on 1 (Bronze): Kill three different types of enemy in a single jump. Available stages: Garden 11 - 15.
Encore: All Seeds 11 (Bronze): Open all seeds in garden 11, without using continues.
Encore: All Seeds 12 (Bronze): Open all seeds in garden 12, without using continues.
Encore: All Seeds 13 (Bronze): Open all seeds in garden 13, without using continues.
Encore: All Seeds 14 (Bronze): Open all seeds in garden 14, without using continues.
Encore: All Seeds 15 (Bronze): Open all seeds in garden 15, without using continues.
Encore: All Spectra Found (Garden 11 -- 15) (Bronze): Get all the Spectra in garden 11 - 15.
Encore: Bank Shot (Bronze): Get a Spectra after bouncing off a rock (or rocks) more than once. No gripping other Grimps after bouncing. Available stages: Garden 11 - 15.
Encore: Double Spectra (Silver): Get two Spectra in a single jump. Available stages: Garden 11 - 15.
Encore: Peak Position (Bronze): Reach the highest point in the tallest garden of Encore. Available stages: Garden 11 - 15.
Encore: Seed Open Combo Ten (Bronze): Open ten seeds in a single jump, without gripping a plant. Available stages: Garden 11 - 15.