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

Words that have identical vowel-based rhyme sounds in the tonic syllable. Moreover, that tonic syllable must start with a different consonantal sound.
surety
    impurity
      maturity
        obscurity
          security
            Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
            Words that have a pure rhyme on their last syllable only.
            purity
              maturity
                immaturity
                  insecurity
                    End Rhyme Set #1 of 910 (Add to/Edit Set Members)
                    clarity
                      parity
                        rarity
                          verity
                            barbarity
                              dexterity
                                disparity
                                  hilarity
                                    polarity
                                      posterity
                                        prosperity
                                          sincerity
                                            temerity
                                              familiarity
                                                popularity
                                                  regularity
                                                    similarity
                                                      solidarity
                                                        irregularity
                                                          peculiarity
                                                            unfamiliarity
                                                              ambidexterity
                                                                End Rhyme Set #2 of 910 (Add to/Edit Set Members)
                                                                apparently
                                                                  inherently
                                                                    transparently
                                                                      End Rhyme Set #3 of 910 (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)
                                                                      purity
                                                                        maturity
                                                                          immaturity
                                                                            insecurity
                                                                              Near Rhyme Set #1 of 14 (Add to/Edit Set Members)
                                                                              neuropathy
                                                                                neuropathy
                                                                                  Near Rhyme Set #2 of 14 (Add to/Edit Set Members)
                                                                                  curiously
                                                                                    furiously
                                                                                      Near Rhyme Set #3 of 14 (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."
                                                                                      • figura + di
                                                                                      • mura + di
                                                                                      • Sura + vi
                                                                                      Mosaic Rhyme Set #1 of 1 (Add to/Edit Set Members)