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
                      cock roach
                        End Rhyme Set #1 of 2 (Add to/Edit Set Members)
                        stagecoach
                          brian roach
                            End Rhyme Set #2 of 2 * (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."
                                                                          • the + broach
                                                                          • the + brooch
                                                                          • the + coach
                                                                          • the + poach
                                                                          • the + roach
                                                                          • the + Roche
                                                                          Mosaic Rhyme Set #1 of 1 (Add to/Edit Set Members)