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 "race her".
Words that have a pure rhyme on their last syllable only.
stationer
    probationer
      vacationer
        bracer
          chaser
            facer
              lacer
                pacer
                  placer
                    racer
                      spacer
                        tracer
                          eraser
                            Acer
                              fresher
                                pressure
                                  thresher
                                    refresher
                                      Beshore
                                        Cheshire
                                          Drescher
                                            Escher
                                              Flesher

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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)
                                                stationer
                                                  probationer
                                                    vacationer
                                                      bracer
                                                        chaser
                                                          facer
                                                            lacer
                                                              pacer
                                                                placer
                                                                  racer
                                                                    spacer
                                                                      tracer
                                                                        eraser
                                                                          Acer
                                                                            ager
                                                                              gauger
                                                                                major
                                                                                  pager
                                                                                    stager
                                                                                      wager
                                                                                        Yager

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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.
                                                                                          Bursch
                                                                                            Hersch
                                                                                              Hersh
                                                                                                Hirsch
                                                                                                  Hirsh
                                                                                                    Kirsch
                                                                                                      adverse
                                                                                                        commerce
                                                                                                          converse
                                                                                                            outbursts
                                                                                                              traverse
                                                                                                                universe
                                                                                                                  supercenters
                                                                                                                    burse
                                                                                                                      curse
                                                                                                                        firsts
                                                                                                                          hearse
                                                                                                                            merce
                                                                                                                              nurse
                                                                                                                                perce
                                                                                                                                  pers
                                                                                                                                    perse
                                                                                                                                      purse
                                                                                                                                        terse
                                                                                                                                          verse
                                                                                                                                            worse
                                                                                                                                              adverse
                                                                                                                                                adverse
                                                                                                                                                  averse
                                                                                                                                                    coerce
                                                                                                                                                      converse
                                                                                                                                                        disburse
                                                                                                                                                          disperse
                                                                                                                                                            diverse
                                                                                                                                                              emerse
                                                                                                                                                                immerse
                                                                                                                                                                  inverse
                                                                                                                                                                    obverse
                                                                                                                                                                      perverse
                                                                                                                                                                        rehearse
                                                                                                                                                                          reverse
                                                                                                                                                                            submerse
                                                                                                                                                                              transverse
                                                                                                                                                                                traverse
                                                                                                                                                                                  intersperse
                                                                                                                                                                                    reimburse
                                                                                                                                                                                      Bearce
                                                                                                                                                                                        Pearse

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