Berries of blackcurrant (Ribes nigrum L.) are popular for their strong and complex aroma and their benefits for health. In Burgundy (France), the most famous blackcurrant cultivar is the “Noir de Bourgogne”. A blackcurrant breeding program was conducted to obtain new varieties, more resistant to infections and climate changes. The cultivar “Noir de Bourgogne” was crossed with seven other varieties in order to create a hybrid with good agronomic properties and organoleptic properties close to the ones of “Noir de Bourgogne”. Several hybrids were created, and their aromatic profiles studied. Berries of eight cultivars, among which Noir de Bourgogne and hybrids resulting from crossings, were harvested during the summer of 2020. Volatile compounds of berries were analyzed by HS-SPME-GC-MS, and principal component analysis (PCA) was used as the most useful chemometric technique. The profiles in volatile compounds of hybrids were either different from those of the two parental varieties or close to that of varieties other than Bourgogne black. In all cases, the overall aroma strength of the hybrid did not equal that of the Noir de Bourgogne cultivar.