To be heard; to be audible — a sound or voice reaches one's ears.
遠くで犬の鳴き声が聞こえる。
I can hear a dog barking in the distance.
窓を閉めても車の音がまだ聞こえる。
Even with the window closed, I can still hear traffic noise.
小さな声だったので、はっきりは聞こえなかった。
It was a small voice, so I couldn't hear it clearly.
To sound (like); to come across as — the impression something gives when heard.
彼は疲れているように聞こえる。
He sounds tired.
説明を聞いた限りでは、問題は深刻ではないように聞こえる。
From what I heard in the explanation, it sounds like the problem isn't serious.
その冗談は悪意があるように聞こえた。
That joke sounded malicious.
To be well known; to be famous — a name or reputation that has reached others.
彼の名前は海外にも聞こえている。
His name is known even abroad.
この店はおいしいと聞こえてくるので、今度行ってみよう。
I've heard that this restaurant is good, so I'll try going next time.
Dated: to accept (someone's words); to agree; to understand — an older usage, now rare.
その申し出を聞こえる（聞こゆる）と言って、承諾の意を示した。（文語表現）
He expressed agreement by saying he 'heard' the offer (classical wording).