The phrase "breakout success" refers to something or someone that suddenly becomes very successful and gains a lot of attention or popularity in a short amount of time. Full definition
These companies are using fresh funding, top - tier talent and innovative ideas to reach breakout success in 2017. (hydeparkvp.com)
Not only have there been some huge breakout successes, a huge quantity of reasonably selling games adds up, and potential purchasers will be attracted by the greater number of available titles. (playstationlifestyle.net)
Zac Efron, long due breakout success of his own following High School Musical and 17 Again, is in fine form but clearly isn't the star. (rottentomatoes.com)