Here is the full list of all 30 Beat Souls (EU) trophies - there are 12 bronze, 11 silver, 6 gold and 1 platinum.
Catch 500 beat souls.
Reach player level 3.
Complete 3 stages with "Full Combo".
Complete 3 stages with "No Damage".
Jump 100 times.
Catch 100 beat souls.
Complete 1 stage with "Full Combo".
Complete 1 stage with "No Damage".
Play against Mei for the first time.
Unlock all other trophies.
Play against Mei 10 times.
Play against NeNe for the first time.
Play against NeNe 10 times.
Play against Rinko for the first time.
Play against Rinko 10 times.
Clear 5 Normal stages.
Clear 10 Normal stages.
Clear 20 Normal stages.
Clear 25 Normal stages.
Complete 5 stages with "Full Combo".
Complete 5 stages with "No Damage".
Collect 10 recovery items.
Collect 25 recovery items.
Collect 50 recovery items.
Catch 1000 beat souls.
Catch 5000 beat souls.
Jump 400 times.
Jump 800 times.
Reach player level 6.
Reach player level 9.