Here is the full list of all 32 SingStar Digital (EU) trophies - there are 18 bronze, 8 silver, 5 gold and 1 platinum.
Collect every SingStar™ trophy
Play on Christmas Day
Play on SingStar's original launch date
Get the highest ranking on every line in a Normal length performance
Perform 400 songs
Perform with a friend 300 times
Perform a duet song on St. Valentine's Day
Perform vibrato for a total of 300 seconds
Earn the "SingStar" score ranking in 20 normal length performances
Perform with a friend 90 times
View 50 pieces of media
Earn the "SingStar" score ranking in 10 normal length performances
Perform 100 songs
Accumulate 10000 seconds of perfect pitch
Perform with a friend 30 times
Save 20 pieces of media
Upload a piece of media
Rate 10 pieces of media
Complete 500 Golden Notes
Complete 5 performances of a duet song with another player
Sing in harmony with a friend during a duet song
Accumulate 3000 seconds of perfect pitch
Complete 5 rap performances
Perform 40 songs
Get the highest ranking on 10 lines in a row
Get the lowest score rank on any song
Perform 15 songs in one game session
Gain the number 1 position in 10 different score charts
Play 5 random songs selected by the Shuffle button
Accumulate 500 seconds of perfect pitch
Perform vibrato for the first time
Fill every Golden Note in a normal length performance