Providing insurance was one reason for the emergence and popularity of friendly societies, fraternal organizations, and trade unions in the 19th century. But out of that emerged the modern insurance industry, so you can now just buy those products directly. Unemployment insurance may be an exception, but that's because employer-mandated unemployment insurance is now so ubiquitous.

The modern "welfare state" also emerged out of those earlier grassroots movements. Now we take it for granted. One downside is that the state has largely displaced the incentive for those private societies.

And for the conspiratorial minded: that displacement was in part a deliberate attempt to limit the power of collective action and employees generally. In the early 20th century, jury awards for horrendous workplace accidents were often large and starting to threaten the bottom line. Employer-mandated workers' compensation insurance was promoted by companies as a way to limit their liability. This is why you typically cannot sue your employer for most workplace accidents if you're covered by workers' compensation. The same legislation that mandates workers' compensation insurance shields employers from liability for workplace accidents. Especially in the case of grievous injury or permanent disability, an employee likely would have gotten much greater compensation in a civil suit than what they'll get in workers' compensation. (OTOH, considering all workplace injuries and compensation together, maybe the bargain was worth it overall. Employee societies may never have achieved the degree of coverage the legal mandate did, and maybe those societies would never have been able to provide more compensation on average than employees get now.)