Here's what rhymes with postapostolic.
apostolic diastolic folic frolic rollick symbolic hydraulic systolic phenolic anabolic catabolic diabolic shambolic metabolic carbolic hyperbolic parabolic bucolic vitriolic chocoholic shopaholic chocaholic alcoholic workaholic melancholic nonalcoholic Words that almost rhyme with postapostolic
boric hayrick historic pyloric caloric euphoric meteoric folkloric allegoric prehistoric metaphoric sophomoric hydrochloric noncaloric topic tonic logic atomic comic toxic garlic ionic despotic gothic sonic tropic atopic basaltic biotic conic bardic cirrhotic phonic seraphic strophic subtopic bionic chronic cosmic aortic aquatic chaotic erotic ironic anatomic autonomic catastrophic caustic episodic hypnotic psychotic tectonic ascorbic demonic genomic iconic idiotic isotopic sardonic spasmodic diatomic fibrotic formic gnostic hypoxic iambic isotonic karmic meiotic myopic nephrotic platonic robotic catatonic diatonic subatomic subsonic daemonic chopstick avionic carsick acetonic placekick periodic exotic harmonic neurotic biologic geologic isotropic melodic narcotic pathologic ultrasonic chorionic colonic mnemonic necrotic semiotic supersonic symbiotic synoptic agnostic anarchic anoxic cathartic cathodic cytologic dialogic hypertonic laconic lethargic monotonic nontoxic pedagogic peristaltic planktonic polyphonic prosodic sclerotic symphonic telescopic thrombotic antarctic ergonomic hierarchic telephonic acrostic gyroscopic heartsick rhapsodic subarctic monophonic theosophic subtropic economic diagnostic patriotic antibiotic embryonic philosophic cytotoxic hegemonic histologic macroscopic prognostic anisotropic endoscopic etiologic psychologic taxonomic yardstick histrionic orthodontic psychotropic stereoscopic agronomic arthroscopic demagogic gastronomic homoerotic xenophobic astronomic ecologic stroboscopic tragicomic hydroponic posthypnotic stereophonic nonnarcotic quadraphonic aetiologic quadrophonic astronautic horologic electronic microscopic physiologic neurologic philanthropic atherosclerotic metamorphic morphologic spectroscopic ganglionic hematologic oligarchic polymorphic quixotic uneconomic architectonic fluoroscopic kaleidoscopic unpatriotic antispasmodic misanthropic macrobiotic infrasonic philharmonic haematologic gynaecologic seismologic pharmacologic gynecologic bacteriologic submicroscopic meteorologic socioeconomic anthropomorphic epidemiologic immunologic microcosmic electroscopic macroeconomic microelectronic