Perfect Rhymes (sound exactly the same):
* There are no perfect rhymes for "phonograph" in the English language.
Near Rhymes (similar sounds):
* Graph, laugh, chaff, gaff (these rhyme with the "-aph" sound)
* Autograph, photograph, telegraph (these share the "-graph" suffix)
Eye Rhymes (look the same but sound different):
* Paragraph, epigram, program (these look similar but don't rhyme phonetically)
Other Options:
* Record player, gramophone, turntable (these are synonyms, not rhymes, but could be used in context)
Ultimately, the best "rhyme" for "phonograph" depends on the context and your desired effect.