Here is the full list of all 26 American Ninja Warrior: Challenge trophies - there are 6 bronze, 14 silver, 5 gold and 1 platinum.
Fall in pools 10 times.
Complete 5 save moments.
Complete a course.
Create a character.
Unlock all the trophies.
Beat Mt Midoriyama.
Earn 2000 in prize money.
Complete 5 training courses.
Unlock Matt and Akbar.
Get to Vegas 5 times.
Complete a characters career.
Beat Las Vegas Stage 1 in under 2 minutes.
Beat Las Vegas Stage 2 in under 2 minutes.
Beat Las Vegas Stage 3 in under 2 minutes.
Create 5 characters.
Complete 5 special events.
Max out a stat.
Get 5 perfect inputs in a row.
Unlock 10 accessories.
Unlock 5 obstacles.
Unlock 5 costumes.
Create 5 custom courses.
Unlock 5 celebrations.
Create a custom course.
Complete 5 quickplay courses without falling.
Complete 5 Ranked Courses