Efficient detection and removal of superfluous or damaged organelles are crucial to maintain cellular homeostasis and to assure cell survival. Growing evidence shows that organelles or parts of them can be removed by selective subtypes of otherwise unselective macroautophagy and microautophagy. This requires both the adaptation of the core autophagic machinery and sophisticated mechanisms to recognize organelles destined for turnover. We review the current knowledge on autophagic removal of peroxisomes, mitochondria, ER and parts of the nucleus with an emphasis on yeasts as a model eukaryote.