One of the most northwestern beaches of Aruba is Arashi Beach. Its just minutes from the California Lighthouse. Its a very small beach, maybe less than 500 feet long. If you are facing the ocean you will see a long stretch of rocks occupied by birds on the left, and looking over to the far right you will see the California Lighthouse.
They do have one small bar on the beach which actually has some economical snacks and bites to eat as well as your basic beer and cocktails.