WikiRhymer has about 1,000 rhyming words and phrases for "idyllic" starting with...

acrylic
    hydrophilic
      pedophilic
        Cyrillic
          Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
          Words that have a pure rhyme on their last syllable only.
          sidekick
            side kick
              End Rhyme Set #1 of 121 (Add to/Edit Set Members)
              acidic
                Chappaquiddick
                  Hasidic
                    End Rhyme Set #2 of 121 (Add to/Edit Set Members)
                    Isaac
                      Issac
                        End Rhyme Set #3 of 121 (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)
                        acidic
                          Chappaquiddick
                            Hasidic
                              Near Rhyme Set #1 of 17 (Add to/Edit Set Members)
                              clinic
                                cynic
                                  monoclinic
                                    Dominik
                                      Finnick
                                        Minnick
                                          Winnick
                                            Near Rhyme Set #2 of 17 (Add to/Edit Set Members)
                                            gimmick
                                              mimic
                                                bulimic
                                                  patronymic
                                                    Dimmick
                                                      Near Rhyme Set #3 of 17 (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 "idyllic".

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