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

resurface
    Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
    Words that have a pure rhyme on their last syllable only.
    versus
      curse us
        Ursus
          End Rhyme Set #1 of 221 (Add to/Edit Set Members)
          arris
            Barrus
              End Rhyme Set #2 of 221 (Add to/Edit Set Members)
              preface
                Cephus
                  End Rhyme Set #3 of 221 (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)
                  versus
                    curse us
                      Ursus
                        Near Rhyme Set #1 of 9 (Add to/Edit Set Members)
                        hurt us
                          Curtis
                            Near Rhyme Set #2 of 9 (Add to/Edit Set Members)
                            nervous
                              service
                                disservice
                                  Gervase
                                    • at one's service
                                    • curb service
                                    • lip service
                                    • of service
                                    • room service
                                    • see service
                                    • yeoman service
                                    Near Rhyme Set #3 of 9 (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."
                                    • chauffeur + us
                                    • der + us
                                    • deter + us
                                    • err + thus
                                    • fer + us
                                    • fir + us
                                    • fur + us
                                    • her + bus
                                    • her + cuss
                                    • her + fuss
                                    • her + plus
                                    • her + pus
                                    • her + puss
                                    • her + thrusts
                                    • her + thus
                                    • her + truss
                                    • her + us
                                    • infer + thus
                                    • occur + thus
                                    • per + bus
                                    • per + truss
                                    • per + us
                                    • prefer + us
                                    • pur + us
                                    • refer + thus
                                    • refer + us
                                    • spur + us
                                    • stir + us
                                    • sur + plus
                                    • ter + bus
                                    • ter + us
                                    • transfer + bus
                                    • transfer + thus
                                    • transfer + us
                                    • were + bus
                                    • were + Gus
                                    • were + plus
                                    • were + sus
                                    • were + thus
                                    • were + us
                                    Mosaic Rhyme Set #1 of 1 (Add to/Edit Set Members)