Lipid compositions and lipid compositions included in cosmetic products, personal care products, skin care products, nutraceuticals, bio fuels, bio-lubricants, oleo chemicals, nutritional products, other bio-products, and animal feed compositions. Concentrations of lipid components. A method of removing and recovering a lipid composition by mixing a lipid feedstock with a solvent, separating the mixture into a raffinate phase and an extract phase containing beneficial non-glyceride compounds, removing solvent from the extract phase and obtaining a concentrate phase, and recovering a lipid composition from the concentrate phase. A method of producing a fatty acid alkyl ester. A method of producing a distiller's product. A method of performing secondary extractions and recovering a lipid composition by performing a first extraction on a lipid feedstock, performing a second extraction on a lipid feedstock, and exploiting differences in solubility limits to create unique product fractions derived from naturally occurring lipids.