WikiRhymer has about 2,000 rhyming words and phrases for "dream" starting with...

beam
    bream
      cream
        creme
          deem
            diem
              gleam
                ream
                  scheme
                    scream
                      seam
                        seem
                          steam
                            stream
                              team
                                teem
                                  theme
                                    agleam
                                      downstream
                                        esteem
                                          extreme
                                            passim
                                              redeem
                                                regime
                                                  supreme
                                                    upstream
                                                      blaspheme
                                                        Hakim
                                                          Ibrahim
                                                            Joachim
                                                              Kareem
                                                                Karim
                                                                  Maxime
                                                                    Reim
                                                                      Sephardim
                                                                        Vadim
                                                                          • off the beam
                                                                          • on the beam
                                                                          • like a cat that got the cream
                                                                          • vanishing cream
                                                                          • color scheme
                                                                          • gather steam
                                                                          • under one's own steam
                                                                          • blow off steam
                                                                          • swim against the stream
                                                                          • against the stream
                                                                          • SWAT team
                                                                          Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
                                                                          Words that have a pure rhyme on their last syllable only.
                                                                          icecream
                                                                            ice cream
                                                                              End Rhyme Set #1 of 2 (Add to/Edit Set Members)
                                                                              daydream
                                                                                bireme
                                                                                  nauseam
                                                                                    sunbeam
                                                                                      moonbeam
                                                                                        bloodstream
                                                                                          mainstream
                                                                                            sidestream
                                                                                              midstream
                                                                                                jetstream
                                                                                                  episteme
                                                                                                    academe
                                                                                                      Purim
                                                                                                        Saleem
                                                                                                          • change horses in midstream
                                                                                                          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)
                                                                                                          sixteenths
                                                                                                            thirteenths
                                                                                                              Near Rhyme Set #1 of 54 (Add to/Edit Set Members)
                                                                                                              bier
                                                                                                                ear
                                                                                                                  seer
                                                                                                                    tier
                                                                                                                      we're
                                                                                                                        weir
                                                                                                                          endear
                                                                                                                            mishear
                                                                                                                              sightseer
                                                                                                                                buccaneer
                                                                                                                                  disappear
                                                                                                                                    multiyear
                                                                                                                                      musketeer
                                                                                                                                        puppeteer
                                                                                                                                          privateer
                                                                                                                                            Grier
                                                                                                                                              Keir
                                                                                                                                                • bug in one's ear
                                                                                                                                                • by ear
                                                                                                                                                • flea in one's ear
                                                                                                                                                • have one's ear
                                                                                                                                                • lend an ear
                                                                                                                                                • play by ear
                                                                                                                                                • play it by ear
                                                                                                                                                • put a flea in one's ear
                                                                                                                                                • roasting ear
                                                                                                                                                • tin ear
                                                                                                                                                • turn a deaf ear
                                                                                                                                                • you can't make a silk purse out of a sow's ear
                                                                                                                                                • give a thick ear
                                                                                                                                                Near Rhyme Set #2 of 54 (Add to/Edit Set Members)
                                                                                                                                                tierce
                                                                                                                                                  Peirce
                                                                                                                                                    Near Rhyme Set #3 of 54 (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.