WikiRhymer has about 6,000 rhyming words and phrases for "alligator" starting with...

No pure rhymes for "alligator".

Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
Words that have a pure rhyme on their last syllable only.
caliber
    Excalibur
      End Rhyme Set #1 of 577 (Add to/Edit Set Members)
      annular
        granular
          End Rhyme Set #2 of 577 (Add to/Edit Set Members)
          Alaster
            McAlister
              McAllister
                End Rhyme Set #3 of 577 (Add to/Edit Set Members)

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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
                    Near Rhyme Set #1 of 71 (Add to/Edit Set Members)
                    annular
                      granular
                        Near Rhyme Set #2 of 71 (Add to/Edit Set Members)
                        Alaster
                          McAlister
                            McAllister
                              Near Rhyme Set #3 of 71 (Add to/Edit Set Members)

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                              Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."

                              We have no mosaic rhymes for "alligator".

                              Mosaic Rhyme Set #1 of 1 (Add to/Edit Set Members)