Here's what rhymes with apiastic.
plastic drastic aplastic mastic elastic dynastic spastic clastic fantastic monastic neoplastic sarcastic stochastic gymnastic bombastic orgiastic periphrastic scholastic inelastic hyperplastic hypoplastic thermoplastic nonelastic enthusiastic ecclesiastic viscoelastic iconoclastic unenthusiastic interscholastic overenthusiastic Words that almost rhyme with apiastic
gastric lactic tactic traffic classic magic static tragic fabric gigantic panic frantic thematic didactic erratic manic synaptic asthmatic operatic pedantic phallic tannic slapstick tyrannic malefic matchstick priapic dramatic dynamic automatic romantic graphic hepatic semantic ceramic dogmatic emphatic somatic thoracic traumatic catholic oceanic pediatric pneumatic rheumatic sporadic aliphatic fanatic galactic geriatric ophthalmic idiomatic italic pelagic spermatic titanic paediatric ataxic botanic apparatchik baldric organic geographic metallic psychiatric aromatic climatic pancreatic pragmatic schematic volcanic autocratic barbaric ecstatic lymphatic mechanic metastatic nomadic prostatic cephalic chromatic climactic galvanic messianic panoramic presynaptic prismatic thalamic tympanic magmatic muriatic satanic splanchnic syllabic theocratic bimetallic unromantic astigmatic neoclassic stigmatic undramatic unemphatic aerobatic democratic diplomatic systematic aristocratic enigmatic enzymatic hemorrhagic prophylactic axiomatic cinematic emblematic glutamic kinematic postsynaptic achromatic anaphylactic haemorrhagic heraldic phlegmatic zygomatic acrobatic chiropractic isobaric schismatic biographic disyllabic osteopathic sycophantic thermostatic nondramatic photostatic bureaucratic demographic problematic inorganic photographic symptomatic charismatic cytoplasmic ethnographic hydrostatic radiographic thermodynamic aerodynamic melodramatic nostalgic paradigmatic programmatic telegraphic topographic transatlantic angiographic cartographic diagrammatic holographic homeostatic intrahepatic lithographic orthostatic psychopathic technocratic tomographic undemocratic unsystematic epigrammatic nonmetallic typographic anticlimactic calligraphic intergalactic numismatic panchromatic plutocratic polysyllabic phonographic undiplomatic unidiomatic homoeostatic asymptomatic hypothalamic idiosyncratic bibliographic endoplasmic hemodynamic monochromatic pornographic psychodynamic psychosomatic diaphragmatic iconographic intrathoracic orthographic posttraumatic unproblematic antidemocratic oceanographic stenographic autobiographic choreographic meritocratic nondemocratic semiautomatic transoceanic xerographic electrostatic chromatographic hydrodynamic stratigraphic monosyllabic protoplasmic seismographic cinematographic crystallographic lexicographic electrocardiographic electroencephalographic