Words that have identical vowel-based rhyme sounds in the tonic syllable. Moreover, that tonic syllable must start with a different consonantal sound.
Hackman
    Words that have a pure rhyme on their last syllable only.
    Cooperman
      Superman
        merman
          Furman
            doorman
              Forman

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                Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely.
                Calahan
                  Callaghan
                    Callahan
                      madman
                        cancan
                          jazzman
                            sampan
                              anchorman
                                handyman
                                  caravan
                                    orangutan
                                      Glassman
                                        Batman
                                          Sandman
                                            McEwan
                                              Pakistan
                                                Afghan
                                                  Taliban
                                                    Lanagan
                                                      Shanahan
                                                        Harahan
                                                          Afghanistan
                                                            Dagestan
                                                              Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."