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 "healthy food".
Words that have a pure rhyme on their last syllable only.
solicitude
    vicissitude
      attitude
        gratitude
          latitude
            barbecued
              barbequed

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