The lyrics of that old song are plain, but they bring tears to your eyes.
Tips
usage
Reserved for things that genuinely move people — films, stories, music, real-life accounts of hardship. Often paired with 故事 (gùshi, story) or 场面 (chǎngmiàn, scene).
memory
催 = 'urge, hurry along' + 人泪下 = 'a person's tears down'. Literally 'urges tears down a person's face' — content that pushes the tears out of you.