WikiRhymer has about 1,000 rhyming words and phrases for "approach" starting with...

broach
    brooch
      coach
        poach
          roach
            caroche
              encroach
                reproach
                  Roche
                    Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
                    Words that have a pure rhyme on their last syllable only.
                    cockroach
                      stagecoach
                        brian roach
                          End Rhyme Set #1 of 1 * (Add to/Edit Set Members)
                          Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely. (Click for more info)
                          cope
                            dope
                              grope
                                hope
                                  lope
                                    mope
                                      nope
                                        pope
                                          rope
                                            scope
                                              slope
                                                soap
                                                  sope
                                                    tope
                                                      trope
                                                        elope
                                                          Shope
                                                            Swope
                                                              • hope against hope
                                                              • great white hope
                                                              • at the end of one's rope
                                                              • at the end of your rope
                                                              • give someone enough rope
                                                              • money for old rope
                                                              • slippery slope
                                                              • no soap
                                                              Near Rhyme Set #1 of 51 (Add to/Edit Set Members)
                                                              bothe
                                                                clothe
                                                                  loathe
                                                                    Near Rhyme Set #2 of 51 (Add to/Edit Set Members)
                                                                    doge
                                                                      loge
                                                                        Near Rhyme Set #3 of 51 (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 "approach".

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