Here is the full list of all 12 Alien Spidy trophies - there are 7 bronze, 4 silver and 1 gold.
Complete all training levels
Get 1,000,000 points playing through the levels
Get 25,000,000 points playing through the levels
Get 500,000,000 points playing through the levels
Complete one level with 5 stars
Collect 10,000 score items along several levels
Collect all high-value score items in the game
Get 5 stars on all special levels
Complete the game
Get at least 3 stars on all levels of the game
Get at least 4 stars on all levels of the game
Get 5 stars in all levels of the game