A corporation is just an organizational form, there is nothing spectacular about governments owning one. Like has been said, we have several that the U.S. government owns.
Based on Federal law we have two types of government enterprises: Government Sponsored Enterprises, and Government Chartered and Owned Enterprises. The distinction isn’t always as clear as it should be, but a GSE is technically owned by private shareholders who can receive profits from the enterprise, but is sponsored by the Federal government. Typically the government holds “warrants” that entitle them to take an ownership stake in GSEs, usually a substantial percentage.
The Federally Chartered and Owned Corporations include:
Commodity Credit Corporation, Corporation for National and Community Service, Corporation for Public Broadcasting, Export-Import Bank of the United States, FAMC, Farm Credit Banks, FCIC, FDIC, FFB, FHLB, Federal Prison Industries, Gallaudet University, GNMA, St. Lawrence Seaway Development Corporation, Tennessee Valley Authority.
Now, some of these are operated with the expectation they will never generate a profit. Some of them are operated with the expectation they will generate a profit and be self-sufficient of any external government funding.
However generally speaking the Government picks this form of organization when at least a few of these possible criteria are met:
- The service provided by the entity is seen as a necessary service to the public.
- The private market is unable to adequately fulfill the need for this service.
- The entity will operate more effectively as a quasi-independent entity as opposed to an agency of the government.
- The entity has some potential to be financially self-sufficient through revenue generation.
- The business involved is a natural monopoly.
If you look basically all government owned corporations meet at least a few of those criteria, some might even meet all of them.
Generally speaking we don’t run any corporations because “the money we make from them could help alleviate the need for taxes.” Some of the government corporations do make money, but mostly we use that money to fill various funds and trusts related to the business these corporations operate in.
The OP is talking about operating businesses in sectors that already have robust private market competition for the purposes of generating profits for the government. That is an unwise proposition, because government enterprises often either cannot compete with private competitors because of poor management (since top positions are inevitably political appointees), because of politicians lobbying for it to do various things real businesses wouldn’t do, or alternatively the government enterprise unfairly competes with private enterprise and drives private competitors out of business with its “blank check” funding power. Either one of those things is not really good, because if a government enterprise drives competitive businesses out of the market then we’ve taken something with a healthy group of competitors and made it a government monopoly. Then if the government does a bad job managing that business that whole sector is now poorly managed.
This is exactly what happened in the United Kingdom. Some of the government enterprises in certain industries were unsustainable in the UK simply because those industries were no longer sustainable in Britain, they could not effectively compete in the real world with lower cost labor pools overseas. But some of the manufacturing businesses that the UK government took over could have been productive private enterprises but were mismanaged by middle class government appointees without any real government experience who were appointed to their position because they had gone to the most exclusive schools and had friends in government.
Read about the UK’s experience basically owning auto companies, mining companies, textile mills, etc and what you ultimately find is a bunch of companies that either were never going to be profitable and thus had to be subsidized by taxpayers or a bunch of companies that were marginally profitable and ultimately undermined the long term health of that entire sector of the British economy.
The government industries in the UK absolutely were not a big revenue boon.