The elimination of mitochondria via autophagy, termed mitophagy, is an evolutionarily conserved mechanism for mitochondrial quality control and homeostasis. Mitophagy, therefore, has an important contribution to cell function and integrity, which extends to the whole organism for development and survival. Research in mitophagy has boomed in recent years, and it is becoming clear that mitophagy is a complex and multi-factorial cellular response that depends on tissue, energetic, stress and signaling contexts. However, we know very little of its physiological regulation and the direct contribution of mitophagy to pathologies like neurodegenerative diseases. In this review, we aim to discuss the outstanding questions (and questions outstanding) in the field and reflect on our current understanding of mitophagy, the current challenges and the future directions to take.