A paper published today in Quaternary Research reconstructs sea levels in the Arabian/Persian Gulf over the past 200,000 years and finds that during the last interglacial [Eemian, MIS 5.1-5.5 below] around 120,000 years ago, sea levels were as much as 5 meters [16 feet] higher than the present for around 10,000 years. The authors find this sea level rise was almost entirely eustatic [from the melting of glaciers] rather than tectonic movements, which were found to be "negligible."
Other papers have found sea levels during the last interglacial were up to 31 feet higher than the present in other locations. Ice core analysis also shows Greenland was 8C warmer than the present during the last interglacial. These changes obviously occurred naturally and there is no evidence that the current interglacial is any different.