The Great Orme is the obvious headline — a 207-metre limestone headland with feral Kashmir goats, Bronze Age mines, a country park and one of the best coastal viewpoints in north Wales. The Great Orme Tramway and the Llandudno Cable Car are both attractions in themselves; the Marine Drive toll road around the cliffs is another good way to see the headland.
Llandudno Pier, at the foot of the Great Orme, is one of the most complete surviving Victorian piers in Britain — fully intact, still busy, and a good place to walk on a windy day. The North Shore Promenade runs from the pier two miles around the bay and is the heart of the resort.
The Great Orme Mines, reached from the tramway halfway station, are the largest Bronze Age copper-mining complex in the world open to the public. You wear a hard hat and walk through 3,500-year-old tunnels excavated by miners using bone and antler tools. Kendrick's Cave, on the lower slopes of the Orme, was the site of remarkable Upper Palaeolithic finds including engraved deer teeth made into a necklace.
The Mostyn Gallery on Vaughan Street is Wales's main contemporary art space outside Cardiff. Venue Cymru is the main theatre and arena venue. Bodnant Garden, 15 minutes south by car, is one of the great gardens of Britain and should not be missed by anyone interested in horticulture.