This work presents selected results obtained for nuclear dose rates measured in the period 2019-2020 in outdoor spaces in various target areas of the project BSB27 MONITOX in Romania and Greece, Black Sea and Aegean Sea coasts (recreational sites and beaches): Constanta, Mamaia, Navodari, Vama Veche, Corbu, Vadu, Sulina, Sfantu Gheorghe (RO), and Kavala, Nea Iraklitsa, Nea Peramos (Kavala Prefecture) and Sotiras, Chrissi Amoudia - Thassos island (GR). The average outdoor gamma radiation dose rates at Black Sea, Romania, range between 71 nGy/h (Vama veche beach) and 195 nGy/h (Corbu) and at Aegean Sea, Greece, between 120 nGy/h (Chrissi Amoudia beach) and 394 nGy/h (Nea Peramos beach). The calculated average for each site was compared with limit stipulated by United Nations Scientific Committee on the Effects of Atomic Radiation (UNSCEAR). Activity concentrations of the natural radioactive isotopes from uranium (238U,235U) and thorium (232Th) series and 40K in samples of sands and sediments were determined by high resolution gamma-ray spectrometry technique at Laboratory of Experimental Nuclear Physics and Dosimetry, INPOLDE research center, Dunarea de Jos University of Galati, Romania, using an ORTEC-AMETEK spectrometer with HPGe detector. Based on the activity values, the hazard risk was calculated using the total outdoor absorbed dose rates at 1m above the ground surface due to γ-rays emission in air from 226Ra, 232Th, and 40K and compared with the equivalent dose obtained from the direct outdoor measurements.