The best replacement for psychoanalysis is psychotherapy.

The best alternatives to psychoanalysis are rated as following:
★★★★★  psychotherapy
★★★  psychodynamic
★★★  behaviorism
★★  cognitive therapy
★★  cbt
★  behavior therapy
★  humanistic
★  humanistic psychology
★  psychodynamic psychotherapy
★  psychoanalytic
★  humanism
★  gestalt
  psychiatry
  psychoanalytic therapy
  client centered therapy
  object relations theory
  adlerian
  analytical psychology
  logotherapy
  cognitive behavioral therapy
  psychodynamic therapy
  person centered therapy
  freud
  behavior

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Speaking about psychoanalysis, one probably shouldn't forget about client centered therapy.

Other search terms related to psychoanalysis and their ratings are:
★★★★★ client centered therapy
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