"glorious success" is a correct and usable phrase in written English.
You can use it to describe a large or impressive accomplishment. For example, "Their climbing of Mount Everest was a glorious success."
After half a century of successful development, going through glorious success and enthusiasm and dark criticism, nuclear power has made a substantial contribution to human development.
Its intrepid mission proved a glorious success.
He went on to glorious success with Internazionale in Milan.
Mind you, Toy Story 2 was a glorious success compared with the other new releases.
These events wobble on a knife-edge between glorious success and ignominious bankruptcy, and looking at where the money goes is a sobering undertaking.
At the controls, a terrorist is raising a prayer of thanks to Allah in expectation of instant transport from this world to the next one, where houris will presently reward him for his glorious success.
We have had glorious successes, but trafficking continues to increase.
All sides should remember Wilson and the single factor that determines the country's glorious successes or crushing failures: cooperation.
The more disruption they cause, the more glorious their success.
The winning trainer is Henry Candy, having his ninth total Glorious Goodwood success.... was 1 minute 37.56 seconds, remarkably close to his time for last year's Sussex, which was faster by nine hundredths of a second.
After last year's Total Strife Forever, East India Youth's second album is a glorious genre-smashing success that marries Scott Walker and John Foxx sci-fi balladry with Pet Shop Boys romance and Underworld-style techno transportation.
