Food products and supplements comprising the essential unsaturated fatty acids EPA or DHA at high concentrations relative to other n-3 HUFAs and with relatively low levels of saturated fatty acids (myristic and palmitic acids) are provided. These compositions can be made in commercial quantities in a cost effective manner by culture of selected microorganisms. The food products and supplements are suited to human health needs which are unable to be met from fish oil origins. Also provided are EPA containing food products obtained from animals.