Or search: papal, apostolic, pontifical
3 Syllables: SUU
Chronicle, comical, conical, hospital, logical, prodigal, topical, tropical
4 Syllables: USUU
illogical, methodical, symbolical, zoological
5 Syllables: UUSUU
anatomical, archaeological, astronomical, biological, categorical, chronological, diabolical, ecological, economical, ethnological, genealogical, geological, ideological, ironical, microscopical, morphological, mythological, neurological, ontological, pathological, pedagogical, periodical, philological, philosophical, physiological, psychological, sociological, technological, theological
6 Syllables: UUUSUU
bibliographical, methodological
7 Syllables: UUUUSUU
meteorological

Found 44 words across 5 groupings. Skipped 4 excess words of a similar stem.