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Synonyms for Polish (same or very similar meaning)

WordNet sense 1 (a preparation used in polishing):

WordNet sense 2 (a highly developed state of perfection; having a flawless or impeccable quality):
cultivation, culture, finish, refinement

WordNet sense 3 (the property of being smooth and shiny):
burnish, gloss, glossiness

WordNet sense 4 (make (a surface) shine):
shine, smooth, smoothen

WordNet sense 5 (improve or perfect by pruning or polishing):
down, fine-tune, refine

WordNet sense 6 (bring to a highly developed, finished, or refined state):
round, brush up, round off, polish up

From the ODE community, based on WordNetadd/edit