Desktop applications such as web browsers and Microsoft Office, as well as smartphone and tablet applications (called "apps"). (There is a push in some parts of the software industry to merge desktop applications with mobile apps, to some extent. Windows 8, and later Ubuntu Touch, tried to allow the same style of application user interface to be used on desktops, laptops and mobiles.)
Server software, including:
Plugins and extensions are software that extends or modifies the functionality of another piece of software, and require that software be used in order to function;
Embedded software resides as firmware within embedded systems, devices dedicated to a single use or a few uses such as cars and televisions (although some embedded devices such as wireless chipsets can themselves be part of an ordinary, non-embedded computer system such as a PC or smartphone). In the embedded system context there is sometimes no clear distinction between the system software and the application software. However, some embedded systems run embedded operating systems, and these systems do retain the distinction between system software and application software (although typically there will only be one, fixed, application which is always run).
Microcode is a special, relatively obscure type of embedded software which tells the processor itself how to execute machine code, so it is actually a lower level than machine code. It is typically proprietary to the processor manufacturer, and any necessary correctional microcode software updates are supplied by them to users (which is much cheaper than shipping replacement processor hardware). Thus an ordinary programmer would not expect to ever have to deal with it.