Simulteneous demultiplexer, multiple relay switch?
To extend Transistor's answer:

I was looking for a "switch matrix" or "crossbar switch". However, these IC's are either too expensive or too limited (dual channel). A very powerful solution is a MCU as a switch matrix

http://www.nxp.com/products/microcontrollers-and-processors/arm-processors/lpc-cortex-m-mcus/lpc-cortex-m0-plus-m0/lpc800-low-cost-cortex-m0-plus:MC_71785

"8.9 Switch Matrix (SWM)
The switch matrix controls the function of each digital or mixed analog/digital pin in a
highly flexible way by allowing to connect many functions like the USART, SPI, SCT, and
I2C functions to any pin that is not power or ground. "

It is a MCU so it has to be programmed, however it can be controlled using IO pins (to switch to different configurations).