The objective of this study was to evaluate the nutritional potential of some unrefined vegetable oils in terms of fatty acid composition which was determined by gas chromatography coupled with mass spectrometry. Eight types of vegetable oils, obtained by cold pressing of raw plant materials of sunflower, rapeseed, soybean, flaxseed, sesame, pumpkin, hempseed and walnut were used in the experiments. For all samples, the fatty acid composition was determined individually or as sum of saturated (SFA), monounsaturated (MUFA) and polyunsaturated (PUFA) fatty acids, and omega-6 (ω-6) and omega-3 (ω-3) were also evaluated. Compared with the other tested oils, walnut oil was characterized by the lowest concentrations in SFA (5.33%) and MUFA (15.97%) and the highest concentrations in PUFA (78.70%). Soybean oil had the highest content in SFA (18.70%), while the rapeseed oil was characterized by the highest content in MUFA (67.49%) and the lowest content in PUFA (24.74%). Nutritional claims regarding the MUFA content can be made for rapeseed oil, while for the other tested oils can be mentioned that are high in PUFA. The soybean, rapeseed, flaxseed, hempseed and walnut cold pressed oils can be considered to have nutritional potential due to the high amounts of ω-3 PUFA.