Writes down achievements that are unsurpassed (7)
I believe the answer is:
records
This clue might be a double definition.
'writes down' is the first definition.
(I've seen this in another clue)
'achievements that are unsurpassed' is the second definition.
'records' can be an answer for 'achievements' (record is a kind of achievement). I am not certain of the rest of the definition.
Can you help me to learn more?
(Other definitions for records that I've seen before include "Makes written note" , "Files" , "The best (or worst) performances ever" , "unsurpassed performances" , "Annotations of events" .)