To be extremely embarrassed; literally 'fire comes out of one's face' — used figuratively to describe intense blushing or shame.
プレゼン中に名前を間違えられて、彼は顔から火が出るように赤くなった。
When his name was mispronounced during the presentation, he blushed as if his face were on fire.
子どものころの失敗を思い出して、今でも顔から火が出る思いだ。
Remembering a childhood mistake still makes me feel extremely embarrassed.
彼女は褒められて照れて、顔から火が出るようだった。
She was embarrassed by the compliment and blushed fiercely.