Right next to Lakka you will find Archontiki beach.
It is essentially a natural continuation of Lakka beach, harmoniously combining pebbles and sand. In the cool waters you will enjoy a marvellous swim overlooking Daskalio island, which once housed the school of Psara. Also note that archaeologists have unearthed tombs from the Mycenaean era on Archontiki beach and that really deserves some of your time.