The best replacement for cockatoo is cockatiel.

The best alternatives to cockatoo are rated as following:
★★★★★  cockatiel
★★★★  macaw
★★★★  parrot
★★  eclectus
★★  african grey
★  amazon parrot
★  conure
★  galah
  hyacinth macaw
  sulphur crested cockatoo
  moluccan
  umbrella cockatoo
  umbrella
  hahns macaw
  moluccan cockatoo
  salmon crested cockatoo

Your alternative for cockatoo is not listed? Suggest!
Speaking about cockatoo, one probably shouldn't forget about african grey.

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



Google Trends

Scale is based on the average worldwide traffic of cockatoo in all years. Click on graph for more.
cockatoo
cockatiel
macaw