Analog

The world is analog: measurements like temperature, pressure and acceleration to name a few. Analog design is still needed, whether interfacing with sensors, signal conditioning or just specifying a power supply.
It's all about noise, usually the lack of it. Signals need to be as accurate as possible to get the best results from the circuit.
The design wins when there is an optimum trade-off between noise and power consumed.
Embedded

The world is full of embedded devices, from small 8-bit microcontrollers to powerful 32-bit multi-core processors.
There are just as many software options, from bare metal assembly to multitasking Linux operation systems.
RF

RF connects the world. Whether you want to communicate across a room or across the world, you need some form of RF design.
With high speed Gigabit links and Gigahertz computers becoming more and more common, RF is moving into mainstream designs.
Any trace can act as an antenna if not designed properly. Good RF design leads to fewer EMC issues.