The best replacement for ostrich is emu.

The best alternatives to ostrich are rated as following:
★★★★★  emu
★★  kangaroo
★★  cheetah
★★  elephant
★  cassowary
★  kiwi
  rhea
  chicken egg
  flamingo
  roadrunner
  cheetah faster
  emu faster

Your alternative for ostrich is not listed? Suggest!
Speaking about ostrich, one probably shouldn't forget about head in the sand.

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



Google Trends

Scale is based on the average worldwide traffic of ostrich in all years. Click on graph for more.
ostrich
emu
kangaroo