5 Syllables:
* Indispensable
* Extraordinary
* Unforgettable
* Responsibility
* Constitutional
* Revolutionary
* Circumstantial
* Intangible
* Magnificent
* Incomprehensible
6 Syllables:
* Antidisestablishmentarianism
* Incomprehensibilities
* Unconstitutionalities
* Electroencephalography
* Supercalifragilisticexpialidocious
Let me know if you'd like more examples!