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Synonyms for Want (same or very similar meaning)

WordNet sense 1 (a state of extreme poverty):
deprivation, neediness, privation

WordNet sense 2 (the state of needing something that is absent or unavailable):
deficiency, lack

WordNet sense 3 (anything that is necessary but lacking):

WordNet sense 4 (a specific feeling of desire):
wish, wishing

WordNet sense 5 (feel or have a desire for; want strongly):

WordNet sense 6 (have need of):

From the ODE community, based on WordNetadd/edit