Limassol: Have a small marina and some historic sites such as Kourion and Omodos Village. Just 20 minutes driving outside Limassol there is a stunning bay called Episkopi bay where you will find the Aphrodite Rock. A very beautiful place for swimming, relaxing and enjoying the sea view.
Northern Cyprus: I didn’t have the chance to visit Northern Cyprus (the Turkish part) due to the time bound but I heard that it is very beautiful even more than the Greek part. It is very safe to go and drive in the Turkish part, you only need to carry your passport with you. Lots of safari activities take place in the Northern part due to the beautiful nature there.