Popular songs destroy this order (5-4)
I believe the answer is:
smash-hits
'popular songs' is the definition.
I know nothing about this answer so I can't tell whether this works.
'destroy this order' is the wordplay.
'destroy' becomes 'smash' (I can't justify this - if you can you should believe this answer much more).
'order' is an anagram indicator.
'this' is an anagram of 'hits'.
'smash'+'hits'='SMASH-HITS'
Can you help me to learn more?
(Another definition for smash-hits that I've seen is " Hugely successful plays or shows - violent? (5, 4)".)