Mellieha is the only town close by, and it is in walking distance -- horizontally, about a mile and a half. But it is too steep a climb for me as it is about 250 feet higher than the hotel. But it is a 10 minute bus ride. Other than Mellieha there are no towns or cities worthy of note in the north end of the island. St. Paul (San Pawl) is about 10 miles away an is much larger and more touristy than Mellieha. Another 5 miles gets you to Bugibba, bigger still but not quite as touristy. It's still on the northeast coast of the island.
Today we're riding the bus to Sliema to experience more of the "big" city and to have more shopping variety.