1. flavor; flavour; taste
飲む相手と雰囲気で、酒の味も変わりますからね。The taste of alcohol changes depending on who you drink with and the atmosphere.
2. charm; appeal; uniqueness; attractiveness
3. experience; taste (e.g. of victory)
虚しい勝利の味だ。It is the taste of a hollow victory.
4. smart; clever; witty; strange
5. aji; position that has some lingering potential that may be exploited later in the game