**Drosophila melanogaster.** (fruit-fly, pomice-fly)
, the females produce perhaps 500 eggs per generation which can hatch in 12-15 hours - from the point of view of turnover, you should be able to observe many generations in a short-ish period at one generation per ten days in reasonable conditions.
Their diet is fruit, fungi - both preferably decomposing and are able to be anaesthetised with ether or carbon dioxide.
They have acted as a model organism (eukaryote) for the study of genetics and there are many known mutations, and established ways to produce them (ethyl methane sulfonate, ionising radiation).