1. Climb mount Srđ
Mount Srđ looms behind Dubrovnik, lending the cityscape a touch of the sublime. Walk up its sinuous paths to escape the throb of the streets for a few hours; it's a 90-minute thigh-burner of a walk, but its summit offers panoramic views to please the most curmudgeonly climber. Once you're done gazing, you can stop by the mountain top cafe.
Trees give some shade, but for much of the way you’ll be crossing bare and arid patches under the glare of the sun – so bring plenty of water.
(There are also cable cars which whisk you up to the summit for 60 – 100 kuna each way).