Here's what rhymes with vagosympathetic.
                        
                        
                    
                                sympathetic  acetic  pathetic  ascetic  empathetic  fetich  genetic  prophetic  athletic  apathetic  antithetic  bathetic  aesthetic  poetic  energetic  kinetic  synthetic  diabetic  cosmetic  esthetic  phonetic  prosthetic  unsympathetic  emetic  dietetic  geodetic  hermetic  parenthetic  magnetic  anesthetic  anaesthetic  diuretic  frenetic  kinesthetic  antipathetic  homiletic  gametic  unaesthetic  nonathletic  copacetic  phrenetic  arithmetic  apologetic  alphabetic  parasympathetic  photosynthetic  phylogenetic  biosynthetic  cybernetic  ontogenetic  peripatetic  splenetic  exegetic  unesthetic  ferromagnetic  geomagnetic  nonmagnetic  unapologetic  telekinetic  psychokinetic  antidiuretic  paramagnetic  pharmacokinetic  onomatopoetic  electromagnetic  Words that almost rhyme with vagosympathetic
medic  paramedic  authentic  ferric  septic  aseptic  hectic  sceptic  domestic  generic  metric  antiseptic  relic  centric  peptic  polemic  allelic  eutectic  phrenic  skeptic  steric  derrick  acerbic  lovesick  pectic  epidemic  dialectic  geometric  majestic  pelvic  symmetric  angelic  antigenic  epileptic  forensic  ischemic  cleric  obstetric  splenic  technic  benthic  pandemic  pyogenic  totemic  turmeric  dyspeptic  geodesic  inauthentic  diametric  irenic  paregoric  unauthentic  dyslectic  academic  electric  atmospheric  systemic  dielectric  eccentric  endemic  asymmetric  concentric  eclectic  epistemic  esoteric  numeric  parametric  pathogenic  schizophrenic  enteric  isometric  transgenic  barometric  biogenic  eugenic  isomeric  monomeric  mutagenic  neurogenic  tartaric  teratogenic  androgenic  apoplectic  chimeric  dyslexic  geocentric  hysteric  neurasthenic  allergenic  anorectic  leukaemic  photogenic  redbrick  telegenic  mesenteric  econometric  psychometric  cryogenic  egocentric  ethnocentric  iatrogenic  neuroleptic  photometric  psychedelic  psychogenic  anorexic  heliocentric  ionospheric  cataleptic  evangelic  paraplegic  thermometric  calisthenic  hypoallergenic  narcoleptic  volumetric  anthropogenic  colorimetric  isoelectric  nonparametric  piezoelectric  anthropocentric  nonacademic  radiometric  polytechnic  pyrotechnic  nonelectric  cliometric  callisthenic  carcinogenic  photoelectric  stoichiometric  trigonometric  alphanumeric  hallucinogenic  hydroelectric