The best replacement for archive is archives.

The best alternatives to archive are rated as following:
★★★★★  archives
★★★★★  backup
★★★★  delete
★★★  delete iphone
★★  delete gmail
★★  pst
★★  library
★  delete ipad
★  inbox
★  repository
★  delete facebook
★  export outlook
★  shared object
★  delete email
★  trash iphone
★  inbox gmail
  read only
  personal folders
  page source
  delete gmail iphone
  personal folder
  backup outlook
  trash gmail
  export
  delete iphone mail
  trash

Your alternative for archive is not listed? Suggest!
Speaking about archive, one probably shouldn't forget about label gmail.

Other search terms related to archive and their ratings are:
★★★★★ label gmail
★ us until
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Google Trends

Scale is based on the average worldwide traffic of archive in all years. Click on graph for more.
archive
archives
backup