Synonyms of lust in English:

sexual desire, sexual appetite, sexual longing, sexual passion, lustfulness, ardour, desire, passion

libido, sex drive, sexuality, biological urge

lechery, lecherousness, lasciviousness, lewdness, carnality, licentiousness, salaciousness, prurience

informal horniness, raunchiness, the hots

British informal randiness

rare salacity, concupiscence, nympholepsy

greed, greediness, desire, craving, covetousness, eagerness, keenness, avidness, avidity, cupidity, longing, yearning, hunger, thirst, appetite, hankering

desire, be consumed with desire for, find sexually attractive, find sexy, crave, covet, want, wish for, long for, yearn for, hunger for, thirst for, ache for, burn for, pant for

informal have the hots for, lech after, lech over, fancy, have a thing about, have a thing for, drool over, have the horn for

crave, desire, be consumed with desire for, covet, have one's heart set on, want, wish for, long for, yearn for, dream of, hanker for, hanker after, hunger for, thirst for, ache for