Modern day traveling requires us to spend super short time in the places we visit for the weekend trips or the the stop overs. Unusual moments requires unusual measures: you need to experience the best place you can see. If you feel exactly like above in Rhodes Island, you must visit the historic town of Rhodes.
The historic town of Rhodes is enclosed by multiple medieval fortification left by many civilizations ruled the island; Greek, Roman, Byzantine, Seljuk, Genoese, Ottoman ... There are more than 10 gates to get in. Each gate takes you to another realm in the maze like street web of the ancient city. Every path from every gate is a different adventure for the wonderer of the island. I recommend you to take a different one each time and get lost!
Among all interesting locations you may visit in the Rhodes old town, I recommend you to spend some time in the Fountain Square and Socrotous Street Market. That is one of the center of attaractions in Rhodes old town. You will see it is a very popular gathering point to meet up new people and get some munchies in the low cost cafes around. It is also a central point on the East of the fortress where multiple shopping streets are opened. It is also directly connected to the Turkish quarter where you can see very well preserved mosque and the Ottoman era mansion. You can reach the square from the ruins of gothic church whose view is magnificent at the twilight.
Another nice point of attraction of Rhodes old town is the tower. You can visit the clock tower and several attractions around it. Moreover, the quarter of the clock tower is the house of many restaurants in the Medieval citadel. Rhodes old town accommodates most of the major restaurants and bars. It basically encompasses the night life of the Rhodes city. It is very hard to recommend restaurants among all enclosed by the fortification but one must always minds not to be tricked by the banners in front of the restos. All typical touristic scams are valid here as well. The one that I had, as an example for your, was the missing 10 EUR in the change as I guess the waiter didn't like the amount of food I consumed and set a price 10 EUR higher than the bill. Anyway, try to taste the Greek delicacies. There were few trip advisor high rank Greek restaurants around the clock tower, worth to check out!
The souvenir shops are worth to check out! You can buy many cool stuff to remind you the nice island trip. However what I definitely recommend you not to buy is the "authentic" Greek food over there. The olives, cheese, booze etc. are extremely pricy. I believe the best is to buy them either from the supermarkets in the new town, at the duty free shop in the harbor or even better on the other side of the sea, Turkey. Basically because the price in the shops here are twice or even triple of the normal level.
So overall Rhodes old town is a place worth to see. You can see most of the attraction with an investment of a full day and night and enjoy Mediterranean sun and sea for the rest of your holiday. ENJOY!!