The best replacement for asana is basecamp.

The best alternatives to asana are rated as following:
★★★★★  basecamp
★★★★  trello
★★★★  jira
★★★★  wunderlist
★★★  podio
★★★  producteev
★★  flow
★★  wrike
★★  evernote
★  azendoo
★  smartsheet
★  pivotal tracker
★  todoist
★  omnifocus
★  nozbe
★  teambox
★  things
  redbooth
  remember the milk
  cohuman
  confluence
  workflowy
  freedcamp
  bitrix24

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

Other search terms related to asana and their ratings are:
★★★★★ evernote
★★★ gtd
★★ harvest
★★ scrum
★ gantt chart
★ time tracking
mantra
You have in mind a companion for asana and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of asana in all years. Click on graph for more.
asana
basecamp
trello