discriminating has 8 distinct synonyms spread across 1 of its 2 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. Its one recorded opposite is undiscriminating.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
showing or indicating careful judgment and discernment especially in matters of taste
“the discriminating eye of the connoisseur”
having or demonstrating ability to recognize or draw fine distinctions
“an acute observer of politics and politicians”
Synonyms, antonyms and the broader and narrower relations for discriminating come from Princeton University’s WordNet. Full sources and licences.