Tapes the best performance of all time (7)
I believe the answer is:
records
'tapes' is the definition.
('record' can be a synonym of 'tape')
'the best performance of all time' is the wordplay.
'the best performance' becomes 'record' (I've seen this before).
'of all time' becomes 's' (I can't justify this - if you can you should give a lot more credence to this answer).
'record'+'s'='RECORDS'
Can you help me to learn more?
(Other definitions for records that I've seen before include "Makes written note" , "Discs" , "The best (or worst) performances ever" , "Sets down in writing or preserves in sound" , "Annotations of events" .)