I always follow the road to Vavatsinia, it's a great and short road for spirited riding. Have a coffee break at the restaurant beside the old church and head back to Lefkara. Follow the road, do not re-enter Lefkara village. As soon as you leave Lefkara behind you will find a turn on your right. It should take you to Kato Drys, Vavla, Layia, Ora, Melini, Eptagonia, Arakapas and Sykopetra village. As soon as you reach Sykopetra ask about Profiti Elias village. It's a very small village and has a nice little tavern "The Eagle Nest". The tavern is on the top of the mountain that is surrounded by other higher peaks. The view is just unique.
There is a nice little church in the village, nice place for taking pictures. After you leave Profitis Elias continue on the same road. It will lead you to Palechori village. From there the options are again endless. You can combine this route with Nicosia-Pitsilia route.