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
                                    • dead letter
                                    • dear john letter
                                    • chain 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.
                                    belter
                                      kelter
                                        shelter
                                          smelter
                                            swelter
                                              welter
                                                Felter
                                                  Skelter
                                                    End Rhyme Set #1 of 619 (Add to/Edit Set Members)
                                                    settler
                                                      Kettler
                                                        End Rhyme Set #2 of 619 (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
                                                                                End Rhyme Set #3 of 619 (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 82 (Add to/Edit Set Members)
                                                                                                settler
                                                                                                  Kettler
                                                                                                    Near Rhyme Set #2 of 82 (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 82 (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 "better".

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