The aim of the present study was to identify the conservation status of Lithuanian local Vištinės goose breed and evaluate the carcass and meat quality characteristics in the breast and thigh depending on the sex. The status of the Lithuanian Vištinės goose breed was evaluated by monitoring of the birds, which are included in the breeding system. Twenty geese from the nucleus flock at the age of 10 weeks and reared using a commercial concentrate diet ad libitum were used for the carcass and meat quality evaluation. Due to fluctuations in the numbers of geese and reproduction of purebred birds on a largest scale from the nucleus flock, the status of Vištinės goose population remains critical-maintained. The difference in the live body weight between males and females was insignificant, whereas males showed higher carcass weight (p < 0.05), including the weight of breast, wings, thighs and neck. The sex did not affect the meat quality parameters, but the anatomical location of muscles has appeared to show a high effect. Thigh muscles had lower (p < 0.01 and p < 0.001, respectively) protein and cholesterol, and higher (p < 0.001) intramuscular fat contents compared with the breast. Thigh muscles also showed higher (p < 0.001 and p < 0.01, respectively) pH and EZ drip loss, but lower (p < 0.001) cooking loss compared with the breast. The breast was characterized by a higher (p < 0.001) shear of force and toughness with Warner–Bratzler test and higher (p < 0.001) hardness detected by texture profile analysis (TPA) compared with the thigh. Breast lipids had higher (p < 0.001) proportion of total saturated and polyunsaturated fatty acids, whereas the thigh was characterized by a higher proportion of monounsaturated fatty acids. Atherogenic (AI) and thrombogenic (TI) indexes were higher (p < 0.001) and hypocholesterolemic/hypercholesterolemic (h/H) ratio was lower (p < 0.001) and less favourable in the breast compared with the thigh. Despite the muscle type differences, goose meat of the local conserved breed exhibited good quality and expected enhancing impact on consumer health.