All of the approximately 2,000 federal government agencies, divisions, departments, and commissions are examples of bureaucracies. The most visible of those bureaucracies include the Social Security Administration, the Internal Revenue Service, and the Veterans Benefits Administration. (And that number doesn’t include the local- and state-level’s of government, nor the public schools and universities, or the nonprofits and propagandists disguised as news that suck off the teat of the taxpayer.)
In an ideal bureaucracy (aka a non-existent delusion of absolute stupidity), the principles and processes are based on rational, clearly-understood rules, and they are applied in a manner that is never influenced by interpersonal relationships or political alliances.
However, in practice, bureaucracies ALWAYS fail to achieve this ideal.