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

Bronze Stars (Bronze): Collect all stars on any single level of the greattree. 
Bronze Cubes (Bronze): Collect all cubes on any two bonus levels. 
Fuel Tank (Bronze): Have no less than 1000 fuel points at the end of any level. 
Silver Stars (Silver): Collect all stars on any three levels of the great tree. 
Silver Cubes (Silver): Collect all cubes on any five bonus levels. 
Gold Stars (Gold): Collect all stars on all levels of the great tree.
Gold Cubes (Gold): Collect all cubes on all bonus levels.