This video from Open University covers Zeno's paradox, the grandfather paradox, the Chinese room, Hilbert's infinite hotel, the twin paradox, and Schrödinger's cat.
httpv://www.youtube.com/watch?v=5zVaFjSxAZs
A great line from the twin paradox segment:
Time might fly when you are having fun, but when clocks fly they run more slowly in relativity.