To become burned, charred, or scorched from heat (usually referring to food or surfaces). The transitive counterpart is 焦がす (to burn something).
パンが焦げる匂いで目が覚めた。
The smell of burned toast woke me up.
フライパンに油を入れすぎると、食材がすぐに焦げる。
If you put too much oil in the pan, ingredients will burn quickly.
電子レンジで長く温めすぎて弁当のおかずが焦げてしまった。
I overheated the bento in the microwave and the side dish got scorched.
魚の皮が火に近すぎて焦げてしまった。
The fish skin was too close to the heat and got charred.