Words that have identical vowel-based rhyme sounds in the tonic syllable. Moreover, that tonic syllable must start with a different consonantal sound.
There are no pure rhymes for "rabbit run".
Words that have a pure rhyme on their last syllable only.
Lathan
    Pathan
      Addison
        Madison
          Radisson
            Salamon
              Salomon

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                Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely.
                Lathan
                  Pathan
                    Addison
                      Madison
                        Radisson
                          Salamon
                            Salomon

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                              Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."