The diversity of orbital configurations, stellar types, and planetary compositions has opened up a fertile new field of inquiry in climate dynamics, which is not yet very highly populated. On these planets, many concepts familiar from studies of the Earth’s atmosphere/ocean dynamics, radiation balance, chemistry and thermodynamics reappear in novel settings involving different substances and different collective behavior, but not so different that the experience we have gained from studying related phenomena on Earth or on solar system planets fails to provide useful guidance. How does the greenhouse effect or ice-albedo feedback work for planets orbiting red dwarf stars? What kind of diurnal/seasonal cycle do you get on a planet where the length of day is comparable to the length of the year? What is dynamics like on a planet where condensible water vapor is a major constituent of the atmosphere (as opposed to a trace gas, which is the case on the present Earth)? What is the pattern of heat and mass transport on planets with permanent dayside magma oceans and rock-vapor atmospheres? I will provide an overview of a subset of the problems of this sort with which I have been working, and a few recent results.