Complete Fungus Grotto without killing anyone (including fungus bombs), with no more than 2 heart containers and without losing a life after the first checkpoint
Complete Honcho's Logmill without killing anyone (except for only one specific guard that protects the key), with no more than 3 heart containers and without losing a life after the first checkpoint
Complete Honcho's Airship without killing anyone, without destroying bombs (except for everspawning ones), with no more than 2 heart containers and without losing a life after the first checkpoint
Complete Dragoon Skyfort without killing anyone, without destroying bombs (except for everspawning ones), with no more than 2 heart containers and without losing a life after the first checkpoint
Collect an extra life in the end of Dragoon Skyfort, then finish the level without dying (you cannot have 31 ankhs at the moment of getting an extra ankh)
Complete Cloud Citadel without killing anyone, without destroying bombs, with no more than 2 heart containers and without losing a life after the first checkpoint
Complete Efreet Palace without killing anyone, with no more than 2 heart containers and without losing a life after the first checkpoint (bombs can be destroyed in this one)