The phrase "achieved great popularity" is correct and usable in written English.
It can be used to describe something that has become widely liked or accepted by a large number of people.
Example: "The new smartphone model achieved great popularity within just a few months of its release."
Alternatives: "gained significant popularity" or "attained widespread acclaim."
The English composer Sir John Stainer's The Crucifixion (1887) achieved great popularity.
American singer, songwriter, and guitarist who achieved great popularity in the 1970s and '80s.
During the silent-screen era three actors achieved great popularity as stars of westerns.
Each has shown different degrees of effectiveness, but each has achieved great popularity in the schools.
In Kannada the same movement was exemplified by Basava, whose vachanas ("sayings" or "talks") achieved great popularity.
The band prospered, but it was not until, with the help of arranger Ronnie Binge, Mantovani developed its distinctive strings that he achieved great popularity.
It is possible that Cunningham would have achieved greater popularity if he had choreographed to recognisable music instead of the "live electronic music" composed by Cage, David Tudor, Takehisa Kosugi, and other musicians who worked with him.
Recently, however, the case/control design has achieved greater popularity owing to the larger sample size (and thus greater power) that is achievable [WTCC C, 2007] and the development of alternative methods to deal with population stratification [Devlin and Roeder, 1999; Price et al., 2006; Pritchard et al., 2000].
Filled with relentless pessimism, the song cycles such as "Sunless" and "Songs and Dances of Death" may never achieve great popularity.
In 1866 his first two operas, The Brandenburgers in Bohemia and The Bartered Bride, were premiered at Prague's new Provisional Theatre, the latter achieving great popularity.
Although traditional linoleum was still in use, such materials as asphalt, cork, rubber, vinyl asbestos, and the various types of vinyl were achieving greater popularity.
