The best replacement for buns is rolls.

The best alternatives to buns are rated as following:
★★★★★  rolls
★  cinnamon rolls
★  ponytails
★  sticky buns
★  hot dogs
  biscuits
  cinnamon buns
  bum genius
  8 hot dogs

Your alternative for buns is not listed? Suggest!
Speaking about buns, one probably shouldn't forget about bows.

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



Google Trends

Scale is based on the average worldwide traffic of buns in all years. Click on graph for more.
buns
rolls
cinnamon rolls