WikiRhymer has about 9,000 rhyming words and phrases for "poverty" starting with...

antipoverty
    Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
    Words that have a pure rhyme on their last syllable only.
    arty
      hearty
        parti
          party
            Artie
              Carty
                Harty
                  Marti
                    Martie
                      Marty
                        McCarty
                          Moriarty
                            • hale and hearty
                            • life of the party
                            • coming out party
                            • hen party
                            • crash a party
                            • necktie party
                            • stag party
                            • throw a party
                            End Rhyme Set #1 of 912 (Add to/Edit Set Members)
                            partly
                              smartly
                                Bartley
                                  Hartley
                                    End Rhyme Set #2 of 912 (Add to/Edit Set Members)
                                    robbery
                                      snobbery
                                        • daylight robbery
                                        • highway robbery
                                        End Rhyme Set #3 of 912 (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)
                                        arty
                                          hearty
                                            parti
                                              party
                                                Artie
                                                  Carty
                                                    Harty
                                                      Marti
                                                        Martie
                                                          Marty
                                                            McCarty
                                                              Moriarty
                                                                • hale and hearty
                                                                • life of the party
                                                                • coming out party
                                                                • hen party
                                                                • crash a party
                                                                • necktie party
                                                                • stag party
                                                                • throw a party
                                                                Near Rhyme Set #1 of 111 (Add to/Edit Set Members)
                                                                partly
                                                                  smartly
                                                                    Bartley
                                                                      Hartley
                                                                        Near Rhyme Set #2 of 111 (Add to/Edit Set Members)
                                                                        robbery
                                                                          snobbery
                                                                            • daylight robbery
                                                                            • highway robbery
                                                                            Near Rhyme Set #3 of 111 (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."
                                                                            • law + thirty
                                                                            • ya + dirty
                                                                            Mosaic Rhyme Set #1 of 1 (Add to/Edit Set Members)