@peterhalloway,
There are lots of them. Westworld (the new series on HBO) is one of my favorite examples. Other favorites of mine...
Ex Machina - A sexy robot pass the Turing test by killing her captors.
Better than Us - A quirky and quite enjoyable TV series from Russia (via NetFlix) about the next generation robot and her "family".
Terminator (series of movies) - A series of movies about when the AI takes over.
Matrix (series of movies) - See "Terminator"
Star Trek, particularly the "Data" character, a robot learning to be human.