Gumbet
Gumbet practically a suburb of Bodrum, since it's only two kilometers west of the town center. It has a 600 meter long, blue flag beach offering a variety of water sports. Holiday makers with any budget will find suitable accommodation here, since it's well-stocked with pensions to large hotels, all of which offer all-inclusive holiday packages.
The atmosphere of Gumbet beach is young and lively, since it mostly appeals and caters to the 10-30 year old market. Gumbet is packed with restaurants and bars, as well as people, during the high season.
Being so close to Bodrum town center, it should certainly be on your list of places to visit when you're in Bodrum.