The bottom line
Where the ground is stable, typical change appears to be a rise of 1- to 2-mm/y. Rates above 3 mm/y seem to have a substantial component of natural and/or anthropogenic subsidence. Rates above 10 mm/y appear to be a primarily a consequence of human activity, which implies they should be manageable to some degree.
Most of the world’s largest coastal cities border the Pacific Ocean. In recent decades, apparent sea-level has dropped at Nagoya, Lima and perhaps Jakarta. Sea level has likely risen 1- to 2-mm/y at Qingdao, Shantou, Guangzhou-Shenzhen-HK, Seoul, Tokyo and Los Angeles. It has apparently risen 5- to 6-mm/y at the delta cities of Osaka, Tianjin and Shanghai-Hangzhou. The effect of urban activity is clear in apparent rises of 15 mm/y at Manila and 18 mm/y at Bangkok.
For the Atlantic Basin, sea level has likely risen about 2-mm/y at Buenos Aires, London and Rio de Janeiro. Perhaps any change at São Paulo or Lagos has been similar. The apparent rise at Istanbul might be more than 2 mm/y, and apparent rise of 3 mm/y at New York might be due in part to subsidence.
For the Indian Ocean, sea level has likely risen 0.5- to 2-mm/y at Chennai, Mumbai and Karachi. The delta city of Kolkata has seen an apparent rise of 7 mm/y.
Delta cities and others on unconsolidated sediments have higher apparent rises. However, gauges in the Netherlands show that sea-level change in highly developed regions on unconsolidated sediments can be kept close to change seen generally around the world.