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 "n m z".
Words that have a pure rhyme on their last syllable only.
frenzy
    menzie
      Kenzie
        Lenzi
          Mackenzie
            McKenzie
              enemy
                archenemy
                  Basenji
                    Benjy
                      Kenji

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                        Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely.
                        frenzy
                          menzie
                            Kenzie
                              Lenzi
                                Mackenzie
                                  McKenzie
                                    enemy
                                      archenemy
                                        Basenji
                                          Benjy
                                            Kenji

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                                              Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."
                                              There are no mosaic rhymes for "n m z".