Light, light, light clothing, please! Even winter in Cyprus is warm for tourists. Spring and autumn are also warm so do not bring heavy clothes while visiting Cyprus.
Toiletries and Medical Supplies: All can be easily found.
Photo Equipment: Bring a camera, a USB, a laptop...and off you go!
Camping/Beach/Outdoor Gear: You might want to bring your own swimming gear or even the necessary things you would need when you go to the beach like a suncream, a hat etc because they are very expensive. All the above-mentioned things are sold in souvenir shops which can be very expensive.
Miscellaneous: Nobody comes for shopping so pack as little as you can and start exploring the country!
Clothing/Shoes/Weather Gear: Definitely need flat comfy shoes for visiting the archaelogical sites - especially for the Theatre area where this pic is taken, there are lots of steps!