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 "g man".
Words that have a pure rhyme on their last syllable only.
merman
    Furman
      Tristan
        Triston
          doorman
            Forman

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              Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely.
              Greenspan
                Tajikistan
                  Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."