WikiRhymer has about 1,000 rhyming words and phrases for "oats" 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.
boat's
    boats
      coat's
        coats
          cotes
            floats
              gloats
                goat's
                  goats
                    moats
                      motes
                        note's
                          notes
                            quotes
                              throats
                                totes
                                  vote's
                                    votes
                                      connotes
                                        denotes
                                          devotes
                                            promotes
                                              Capote's
                                                Oates
                                                  • a rising tide lifts all boats
                                                  • burn one's boats
                                                  • separate the sheep from the goats
                                                  • compare notes
                                                  • at each other's throats
                                                  Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
                                                  Words that have a pure rhyme on their last syllable only.
                                                  raincoat's
                                                    raincoats
                                                      End Rhyme Set #1 of 2 (Add to/Edit Set Members)
                                                      coyotes
                                                        showboat's
                                                          footnotes
                                                            banknotes
                                                              tugboats
                                                                gunboats
                                                                  lifeboats
                                                                    redcoats
                                                                      airboats
                                                                        sailboats
                                                                          scapegoats
                                                                            speedboats
                                                                              steamboats
                                                                                overcoats
                                                                                  petticoats
                                                                                    asymptotes
                                                                                      asymptotes
                                                                                        anecdotes
                                                                                          anecdotes
                                                                                            ferryboats
                                                                                              riverboats
                                                                                                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)
                                                                                                growths
                                                                                                  oaths
                                                                                                    Near Rhyme Set #1 of 51 (Add to/Edit Set Members)
                                                                                                    bolts
                                                                                                      colt's
                                                                                                        colts
                                                                                                          holts
                                                                                                            jolts
                                                                                                              volts
                                                                                                                revolts
                                                                                                                  Goltz
                                                                                                                    Holt's
                                                                                                                      Holtz
                                                                                                                        Voltz
                                                                                                                          • bucket of bolts
                                                                                                                          • nuts and bolts
                                                                                                                          Near Rhyme Set #2 of 51 (Add to/Edit Set Members)
                                                                                                                          boasts
                                                                                                                            bowse
                                                                                                                              close
                                                                                                                                coasts
                                                                                                                                  dos
                                                                                                                                    dose
                                                                                                                                      ghosts
                                                                                                                                        gros
                                                                                                                                          gross
                                                                                                                                            hosts
                                                                                                                                              los
                                                                                                                                                most
                                                                                                                                                  posts
                                                                                                                                                    toasts
                                                                                                                                                      arkose
                                                                                                                                                        engross
                                                                                                                                                          morose
                                                                                                                                                            diagnose
                                                                                                                                                              grandiose
                                                                                                                                                                Grosz
                                                                                                                                                                  Lohse
                                                                                                                                                                    • bring to a close
                                                                                                                                                                    • draw to a close
                                                                                                                                                                    • at the most
                                                                                                                                                                    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."

                                                                                                                                                                    No mosaic rhymes for one-syllable words.