Here is the full list of all 49 Virtua Tennis 4 trophies - there are 38 bronze, 7 silver, 3 gold and 1 platinum.
Clear Doubles Mode
Win 10 matches
Clear a stage in Arcade Mode Doubles
Pop 30 balloons in Practice Mode
Clear Singles Mode
Earn three Points Won medals
Clear a stage in Arcade Mode
Sustain a rally for 30 shots
Participate in the World Tour
Hit a running shot
Hit a diving shot
Hit a serve at 200km/h (124.3mph) or faster
Collect every trophy
Defeat the King in Arcade Mode Singles
Achieve a player score of 5,000,000 points
Achieve a player score of 7,770,000 points
Play 10 Exhibition Matches
Achieve a 5x Combo in Clay Shooting
Deliver at least 10 chicks simultaneously to their mother in Egg Collector
Score 3 goals in a row in Ace Striker
Get 10 royal straight flushes in Royal Poker
Detonate 20 bombs in the opponent's court in Bomb Match
Collect 1000 coins in Coin Match
Pop 3 balloons in one Wind Match
Hit a wall 5 times with the ball in one Wall Match
Clear the game
Become: Famous
Become: Accomplished
Become: Ultimate Star
Acquire 3 doubles partners
Acquire a play style
Earn 100 stars
Earn 20 awards
Earn 1,000,000 in total prize money
Purchase 50 types of items in the Kit Catalogue
Play online with a customised character
Win a Ranked Match
Win three consecutive Ranked Matches
Log 10 hours of online play time
Reach Rank A
Win 10 Love games
Hit 250 MAX Serves
Hit four consecutive MAX serves
Hit 250 smashes
Hit 100 super shots
Run 42km (26mi)
Swing 5000 times
Win 100 points with ground strokes
Win 100 points with volleys