The best replacement for functionalism is structuralism.

The best alternatives to functionalism are rated as following:
★★★★★  structuralism
★★★  behaviorism
★★★  intentionalism
★★★  conflict theory
★★  marxism
★  conflict
★  formalism
★  identity theory
★  neofunctionalism
★  structuralism anthropology
★  structural functionalism
★  structuralism in psychology
★  dualism
  evolutionism
  symbolic interactionism
  neo functionalism
  structuralism psychology
  materialism
  interactionism
  essentialism
  intentionalism the holocaust
  federalism
  intentionalism holocaust
  gestalt psychology
  intentionalism hitler
  interpretivism
  social conflict
  neo-functionalism
  behaviourism

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Speaking about functionalism, one probably shouldn't forget about conflict theory.

Other search terms related to functionalism and their ratings are:
★★★★★ conflict theory
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