Synonyms for Sashay (same or very similar meaning)
WordNet sense 1 (to walk with a lofty proud gait, often in an attempt to impress others):
cock, prance, ruffle, strut, swagger, tittup
WordNet sense 2 (perform a chasse step, in ballet):
chasse
WordNet sense 3 (move sideways):
sidle
WordNet sense 4 (a journey taken for pleasure):
excursion, expedition, jaunt, junket, outing, pleasure trip
From the ODE community, based on WordNet
add/edit