Here is the full list of all 32 Family Game Night 4: The Game Show (EU) trophies - there are 8 bronze, 20 silver, 3 gold and 1 platinum.
Achieve all trophies in the Game
Hit 30 Bop It! commands in a row without missing
Hit 30 Bop It! commands in a row without missing in Extreme Bop It!
Hit 20 Bop It! commands in a row without missing
Earned 1,500 total points (lifetime) in Boggle Flash
Completed 50 episodes of the Game Show
Completed 25 episodes of the Game Show
Knocked over 600 pins in Yahtzee (lifetime total)
Finished 25 games of Bop It!
Finished 25 games of Boggle Flash
Finished 25 games of Yahtzee Bowling
Finished 25 games of Sorry Sliders
Finished 25 games of Connect 4 Basketball
Got Yahtzee
Knocked over every pin with one throw in Yahtzee Bowling Crazy Lane
Finished a game of Sorry Sliders where the opponent didn't earn a point
Played a game of Sumo Sliders in which two Sumo Sliders were knocked into the Sorry zone
Created 7 words in one game of Boggle Five-Letter Flash
Completed 10 episodes of the Game Show
Hit 10 Bop It! commands in a row without missing
Created 50 unique words in Boggle Flash (lifetime)
Won a game of Connect 4 Basketball against the Computer Player in under :45 seconds
Finished each of the 5 games outside of Game Show (against Computer Player)
Shot 10 balls in under 35 seconds in Connect 4 Basketball
Shot at least 100 balls, lifetime total, in all Connect 4 Basketball games
Won a game of Yahtzee Bowling against the Computer Player
Scored 28 points or higher in one game of Boggle Flash
Played any game outside of Game Show format
Completed an episode of the Game Show
Won a game of Sorry Sliders against the Computer Player
Knocked an opponent out of the five-point zone in Sorry Sliders or were knocked out
Won a round in 4 shots in Connect 4 Basketball