WikiRhymer has about 4,000 rhyming words and phrases for "tuna" starting with...

kuna
    luna
      una
        fortuna
          kahuna
            koruna
              Altoona
                Buena
                  Duna
                    Iduna
                      Laguna
                        Oona
                          Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
                          Words that have a pure rhyme on their last syllable only.
                          outta
                            ruta
                              End Rhyme Set #1 of 376 (Add to/Edit Set Members)
                              hallelujah
                                alleluia
                                  End Rhyme Set #2 of 376 (Add to/Edit Set Members)
                                  Junia
                                    Petunia
                                      End Rhyme Set #3 of 376 (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)
                                      outta
                                        ruta
                                          Near Rhyme Set #1 of 20 (Add to/Edit Set Members)
                                          hallelujah
                                            alleluia
                                              Near Rhyme Set #2 of 20 (Add to/Edit Set Members)
                                              Junia
                                                Petunia
                                                  Near Rhyme Set #3 of 20 (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 "tuna".

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