Here is the full list of all 9 SingStar SuomiHelmet trophies - there are 5 bronze, 2 silver and 2 gold.
Gain the number 1 position in 10 different score charts
Perform with a friend 20 times
Sing 20 songs
Accumulate 3000 seconds of perfect pitch
Sing your first song
Sing 50 songs
Sing 100 songs
Perform vibrato for 100 seconds
Play on SingStar's original launch date