The magic of Dubrovnik
Whilst the old town (Stari Grad) is relatively tiny, within the walls everything else seems magnified to compensate; the enormous entrance gates - now displaying information relating to the devastation of the city during the Yugoslavian civil war; the regal Placa - Dubrovnik's promenade that cuts a swathe of marble through the centre; the ornate domes and facades of the many churches, convents and palaces; and, of course, the walls themselves which are definitely worth the entrance fee to walk around.
There are a lot of sights packed into Dubrovnik; an ancient pharmacy, a monastery, synagogue, the beautiful Onofrio fountains, Venetian style churches (Dubrovnik was once under Venetian authority) and palaces. The thought-provoking War Photo Limited is most definitely worth a visit. Outside the walls you can find a spot to sunbathe (if you're able to find the fabled Buza bar you can even go through the wall to do this!), take a tour by kayaks or take the ferry over to Lokrum island for an escape to a bit of greenery.
The old town has a wide number of places to eat and drink and the general rule of thumb is to get better quality move further away from the Placa - for fresh fish the old harbor is clearly the way to go. And the best place for a sundowner? Has to be the Buza. And how do you get there? If you ask me nicely, I might tell you...