Here is the full list of all 35 Racquet Sports (EU) trophies - there are 18 bronze, 11 silver, 5 gold and 1 platinum.
Win all trophies in Racket Sports
Unlock all rackets in Career
Finish first in a Table Tennis Masters season and win the Private Cup with any character
Win the Masters league in Table Tennis with any character
Win the Professional league in Table Tennis with any character
Finish first in a Squash Masters season and win the Private Cup with any character
Win the Masters league in Squash with any character
Finish first in a Beach Tennis Masters season and win the Private Cup with any character
Win the Masters league in Beach Tennis with any character
In Table Tennis, score a point with the ball bouncing twice on the opponent's table
Win 25 online ranked matches
Win the Professional league in Beach Tennis with any character
Finish first in a Badminton Masters season and win the Private Cup with any character
Win the Masters league in Badminton with any character
Finish first in a Tennis Masters season and win the Private Cup with any character
Win the Masters league in Tennis with any character
Win the Professional league in Squash with any character
Win an online match in which your opponent scores zero points (official matches only)
Win the Professional league in Badminton with any character
Win the Professional league in Tennis with any character
Win the Amateur league in Table Tennis with any character
Unlock all outfits for all the characters
Unlock all haircuts for all the characters
Win the Amateur league in Beach Tennis with any character
In Beach Tennis, play a rally lasting at least 20 shots
Win the Amateur league in Squash with any character
In Tennis, put the ball into the net
In Badminton, send the shuttle really high in the sky
Win the Amateur league in Badminton with any character
Win the Amateur league in Tennis with any character
In any sport, win a match against the computer with the computer scoring zero points
In training mode, achieve a longest series record of at least 10 in every sport
In Tennis, perform 3 successful Risky Shots in a row
In Squash, perform a spectacular drop shot
In any sport, win a match point with a successful Risky Shot