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 dogfish".
Words that have a pure rhyme on their last syllable only.
distinguish
    extinguish
      selfish
        shellfish
          licorice
            liquorice

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              Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely.
              squeamish
                Beamish
                  dealfish
                    fiendish
                      queenfish
                        greenish
                          sheepish
                            peevish
                              needlefish
                                feverish
                                  Swedish
                                    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 "g dogfish".