dated vs old hat

dated

adj
  • Outdated. 

  • Anachronistic; being obviously inappropriate for its present context. 

  • No longer fashionable. 

  • Marked with a date. 

old hat

adj
  • Very familiar; common, hackneyed or out of date. 

How often have the words dated and old hat occurred in a corpus of books? (source: Google Ngram Viewer )