The challenge is to write a drabble, fanfic, or even a sentence for each word, although not necessarily in order. The story doesn't necessarily have to use the word (although it can), just be inspired by it.
Acokoinonia: Sex without passion.
Agrexophrenia: The inability to perform sexually, for fear of being overheard.
Amychesis: Involuntary scratching of a partner's back during sex.
Bastinado: To beat the soles of the feet with a stick or club.
Bivirist: A woman who enjoys sex with two men at the same time.
Cacocallia: The state of being ugly but still sexually attractive.
Coprolalia: Sexual gratification from indecent language.
Cyesolagnia: Sexual attraction to pregnant women.
Demivierge: A woman who is sexually active or promiscuous while still retaining her virginity.
Dyspareunia: Sex that is extremely difficult, uncomfortable, or painful.
Elaterium: The juice of the Squirting Cucumber (botanical usage).
Epicaricacy: Joy or pleasure at the misfortune of others.
Feague: To insert a live eel or pinch of ginger into the anus of a horse to make it lively. (Can be used figuratively; to cheer up or excite someone through drastic means.)
Fream: To roar in the fashion of a boar in mating season.
Frottage: To rub up against someone else (often a stranger) to achieve sexual release.
Genicon: A partner imagined during sex to facilitate pleasure.
Gugusse: A young homosexual with a penchant for priests.
Gunsel: The orally passive member of a homosexual union, OR a man who is proficient at firearms. (From the nickname "gansel," which means "little goose." Used in "The Maltese Falcon" where it acquired its second usage.)
Herquitic (spelling modernized, originally "hirquiticke"): An adolescent (specifically past fourteen) in the throes of a sexual awakening.
Hybristophiliac: One who becomes sexually aroused from being with a violent criminal.
Ithyphallophobia: The fear of seeing, having, or thinking about an erect penis.
Iatronudia: The pretense of illness in order to be allowed to disrobe in front of a doctor.
Imparlibidinous: Pertaining to an unequal state of desire between two people.
Insilarius: One who deliberately dispenses bad advice.
Jarble: To spatter with something.
Jugulate: To throttle or attack by the neck.
Kleptolagnia: Sexual excitement from stealing.
Kordax: A Dionysian dance to celebrate the phallus.
Legruita: A fine levied for undue familiarity with a woman.
Liffy: To seduce a woman with promises of fidelity, and then desert her.
Mageira: Sublimation of sexual desire through cooking.
Meupareunia: Sexual activity in which only one partner is gratified.
Micturient: Feeling a strong desire to urinate.
Necrosadism: Sexual gratification from the mutilation of dead bodies.
Nympholepsy: An erotic daydream trance. (A person in the thrall of nympholepsy is known as a nympholept.)
Obsolagnium: The fading of sexual desire in old age.
Omnifutuant: Prone to engage in sexual activity with anything.
Osphresiophilia: Sexual excitement from smells.
Paraphiliac: A person addicted to unorthodox or unusual sexual practices.
Poger: A passive, older male homosexual.
Priapism: Constant, painful erection without sexual excitement.
Pronovalent: Only able to achieve sexual satisfaction while lying down.
Proxenetism: Pimping or insistent matchmaking performed by a female.
Psychrotic: Sexually frigid.
Rectalgia: Pain in the rectum.
Retifism: Foot fetishism.
Retrocopulation: Copulation with both partners facing away from each other.
Sacofricosis: Rubbing of the genitals through one's pants pocket.
Scopophilia: Interest in sexual imagery, particularly in lieu of actual sex.
Skimmington: An event in which a cuckold (man whose wife cheats on him) is publicly ridiculed.
Spermatoschesis: The suppression of ejaculation.
Spintry: A male prostitute.
Spoffokins: A prostitute posing as a spouse.
Stasivalence: Only able to achieve sexual satisfaction while standing.
Sthenolagnia: Sexual excitement in a woman resulting from a display of strength or prowess.
Strene: To copulate, said of a dog, or in the fashion of a dog.
Synechthry: The state of living together in enmity.
Tarassis: Male hysteria.
Tittery-whoppet: An archaic euphemism for the vagina.
Tribadism: Any rubbing of the clitoris that results in orgasm (usually between women).
Troilism: Sex between three partners.
Uranian: Obsolete word for a homosexual.
Uxoravalent: Only able to have sex with one's wife.
Uxorovalent: Only able to have sex with anyone but one's wife.
Vaginismus: Spasmodic tightening of the vaginal muscles resulting from an extreme aversion to penetration.
Vernalagnia: Heightened sexual desire in the springtime.
Vetanda: A thing that should not be done.
Wittold: A man who knows about his wife's infidelity but does not care, or is satisfied with the situation.
Yaldson: The son of a whore.