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

bettor
    debtor
      fetter
        getter
          jetter
            letter
              metter
                netter
                  setter
                    sweater
                      wetter
                        Fretter
                          Petre
                            Petter
                              Retter
                                Vetter
                                  Yetter
                                    • go getter
                                    • bread and butter letter
                                    • chain letter
                                    • dead letter
                                    • dear john letter
                                    • night letter
                                    • open letter
                                    • to the letter
                                    Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
                                    Words that have a pure rhyme on their last syllable only.
                                    know better
                                      show better
                                        no better
                                          End Rhyme Set #1 of 666 (Add to/Edit Set Members)
                                          belter
                                            kelter
                                              shelter
                                                smelter
                                                  swelter
                                                    welter
                                                      Felter
                                                        Skelter
                                                          End Rhyme Set #2 of 666 (Add to/Edit Set Members)
                                                          settler
                                                            Kettler
                                                              End Rhyme Set #3 of 666 (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)
                                                              belter
                                                                kelter
                                                                  shelter
                                                                    smelter
                                                                      swelter
                                                                        welter
                                                                          Felter
                                                                            Skelter
                                                                              Near Rhyme Set #1 of 87 (Add to/Edit Set Members)
                                                                              settler
                                                                                Kettler
                                                                                  Near Rhyme Set #2 of 87 (Add to/Edit Set Members)
                                                                                  center
                                                                                    centre
                                                                                      enter
                                                                                        mentor
                                                                                          renter
                                                                                            venter
                                                                                              ventre
                                                                                                dissenter
                                                                                                  inventor
                                                                                                    presenter
                                                                                                      Fenter
                                                                                                        Stentor
                                                                                                          • dead center
                                                                                                          • front and center
                                                                                                          • off center
                                                                                                          • shopping center
                                                                                                          Near Rhyme Set #3 of 87 (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."
                                                                                                          • des + der
                                                                                                          • des + fer
                                                                                                          • des + per
                                                                                                          • des + ter
                                                                                                          • des + were
                                                                                                          • eh + were
                                                                                                          • Moshe + were
                                                                                                          • ye + err
                                                                                                          • ye + fer
                                                                                                          • ye + fur
                                                                                                          • ye + her
                                                                                                          • ye + sir
                                                                                                          • ye + stir
                                                                                                          • ye + ter
                                                                                                          • ye + were
                                                                                                          • yeh + were
                                                                                                          Mosaic Rhyme Set #1 of 1 (Add to/Edit Set Members)