Starting from the end of March Condor Airlines offers flights from Larnaca to different countries with a short connection in Frankfurt. For example

Condor Airlines from the end of March offers flights from Larnaca to different countries with a short connection in Frankfurt.

For example, in April you can fly to Cape Town from 440€ one way, Los Angeles from 470€ or Miami from 550€, Cuba from 490€ or Toronto from 480€. The price of the return flight depends on the date you want.

Travel options and tickets can be viewed here.
Under "where from" put Larnaca, under "where to" choose explore all destinations. The site system will show different options.

Source