Here is the full list of all 10 Idling Idol achievements.
Achieve unit rank S.
Hold a dome venue with 100% admission rate.
Complete the training 10 times.
Live 20 times in one play.
Make one idol S rank.
One idol attracts 10,000 fans.
Train 500 times in one play.
Opening up the hardest job of all: appearing in a movie.
Complete the training 5 times.
Complete the training once.