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 none pure rhymes for "alligator".
Words that have a pure rhyme on their last syllable only.
caliber
    Excalibur
      annular
        granular
          Alaster
            McAlister
              McAllister

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                Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely. (Click for more info)
                caliber
                  Excalibur
                    annular
                      granular
                        Alaster
                          McAlister
                            McAllister

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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 "alligator".
                              Words that rhyme on the vowel-based rhyme sound of the last syllable only (for instance: “maybe” and “eat”). Near End Rhymes generally (but not always!) suck. Nonetheless, we provide them for you just in case you may find something useful.
                              lurched
                                perched
                                  searched
                                    researched
                                      unearthed
                                        Fitchburg
                                          Richburg

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