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