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 "character".
Words that have a pure rhyme on their last syllable only.
barrier
    carrier
      farrier
        ferrier
          harrier
            merrier
              scarier
                terrier
                  Berrier
                    Cherrier
                      Perrier
                        Deringer
                          Heringer
                            healthier
                              wealthier

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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)
                                barrier
                                  carrier
                                    farrier
                                      ferrier
                                        harrier
                                          merrier
                                            scarier
                                              terrier
                                                Berrier
                                                  Cherrier
                                                    Perrier
                                                      Deringer
                                                        Heringer
                                                          healthier
                                                            wealthier

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                                                              Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."
                                                              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.
                                                              networked
                                                                irked
                                                                  jerked
                                                                    lurked
                                                                      perked
                                                                        shirked
                                                                          worked
                                                                            reworked
                                                                              overworked
                                                                                bratwurst
                                                                                  cloudburst
                                                                                    outburst
                                                                                      traversed
                                                                                        Allenhurst
                                                                                          Amherst
                                                                                            Bathurst
                                                                                              Bringhurst
                                                                                                Elmhurst
                                                                                                  Lyndhurst

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