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