The best replacement for sheets is cotton sheets.

The best alternatives to sheets are rated as following:
★★★★★  cotton sheets
★★★★★  pages
★★★★★  fabric softener
★★★  worksheets vba
★★  egyptian cotton
★★  cotton
★★  income statements
★★  bulletin board
★★  sateen
★★  otcbb
★  gelatin powder
★  king sheets
★  worksheets
★  bedding
★  liquid fabric softener
★  excel
★  duvet
★  cornish
★  liquid softener
★  otc
★  pallets
★  california king
★  tables
★  timesheets
★  silk
  msds sheets
  vinyl tiles
  egyptian cotton sheets
  queen sheets
  silk sheets
  twin sheets
  double ply
  satin sheets

Your alternative for sheets is not listed? Suggest!
Speaking about sheets, one probably shouldn't forget about high thread count.

Other search terms related to sheets and their ratings are:
★★★★★ high thread count
You have in mind a companion for sheets and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of sheets in all years. Click on graph for more.
sheets
cotton sheets
pages