The best replacement for sham is pillowcase.

The best alternatives to sham are rated as following:
★★★★★  pillowcase
★★★★  duvet
★★★  euro sham
★★★  pillow
★★★  secretariat
★★  standard sham
★★  placebo
★★  pillow case
★  facade
★  coverlet
★  ram
★  duvet cover
★  glam
★  quilt
★  sham
  king sham
  european sham
  standard
  scam
  standard pillow sham

Your alternative for sham is not listed? Suggest!
Speaking about sham, one probably shouldn't forget about duvet cover.

Other search terms related to sham and their ratings are:
★★★★★ duvet cover
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Google Trends

Scale is based on the average worldwide traffic of sham in all years. Click on graph for more.
sham
pillowcase
duvet