If you are asking which crop plants are non C3 here are some examples

C4 crops: Corn, sugarcane, sorghum some millets and biofuel crops of the panicum genera.

CAM crops: pineapple, agava, and commercially important orchids and succulents (Cacti)

C3-C4 intermediates: most significant is Yucca

C3: rice, wheat, barley, all legumes, all trees

as a curiosity the genus Panicum and Flaveria have species in every category and C4 subtype metabolism

hope this was what you were asking

Miquel 

So all the crops once had the C3 Physiology, invariable of the genus and crops???

I am not sure I understood the question but each photosynthetic pathway has its advantages to adapt to special climate/landscape conditions. Selection on C4 species derived in improved summer crops. Many winter crops are C3. Grazing management may be planned to favours one special grass type, by disminishing grazing pressure during frutification or vegetative reproduction period.

mostly C3 for food legumes or pulses and C4 for grain cereals. As both forms the food crops, without knowing plant types hard to categorize. Accordingly the physiology of each plant type varies. Domestication is the process of continuous cultivation under human monitoring or control. 

The most common metabolic pathway for photosynthesis is C3. C4 and CAM metabolisms are thought to be an evolution of the C3 pathway.

You may choose your species according to the environment you live. In certain environments C4 are more efficient than C3 or CAM. For instance, the water use efficiency (i.e. amount of carbohydrates produced per unit of water) is definitely higher in CAM plants compared to C4 and C3, respectively. This means that you would probably choose CAM plants in arid environments.

Wild species did not change their photosynthetic pathway due to a direct connection with domestication. They were likely to change their metabolism because of a change in their original environment, which could have been due to domestication or to other factors (e.g. colonization).

I hope I was helpful.