The world is hardly awash with examples of Greco-Turkish amity and co-operation but happily the short stretch of water between mainland Turkey(in the shape of Bodrum) and the Greek island of Rhodes is one. Hydrofoils and ferries regularly cross the channel in about 45 minutes and you don't need to renew your visa to get back into Turkey.
Rhodes is an alluring island and surprisingly lush compared with the arid Turkish mainland. More to the point, it has some fabulous beaches(Kalithea and Faliraki) and plenty of shopping. But there are also morsels for the more cultured appetite. The capital was the first to be designed on an urban plan(by Ippodamus in 400BC). It was the home of the fabled Colossus, the giant statue that once bestrode the entrance to the harbour. It is also host to a number of museums.
The site genially covers more than you would need for a short visit. As well as providing ferry information, it includes accommodation listings, shopping(though two or three shops seem to suffice), business links, and 'happenings' which lists festivals; although it's worth double checking the dates.