The First Doctor, Ben Jackson and Polly Wright were separated from the TARDIS by the tide. (TV: The Smugglers)
King Cnut once declared that he was so powerful, he could turn back the tide. An amoral Time Lord altered history by providing Cnut with technology which allowed him to do so, but the Eighth Doctor set history back on its correct course. (AUDIO: Invaders from Mars)
On 31 December 1999, the opening of the Eye of Harmony in San Francisco affected the area's tides, which rose to levels that broke all records for the time of year. (TV: Doctor Who)
In 2049, the hatching of the Moon affected Earth's tides, which became high enough to drown whole cities. (TV: Kill the Moon)
The Gravitron controlled Earth's weather by controlling the tides. (TV: The Moonbase)