Is there a touch id solution for the Mac Mini?

You can lock your Mac remotely using Find My and unlock it by keying in the unique pin https://support.apple.com/en-us/HT204756

You can also add a firmware password https://support.apple.com/en-us/HT204455

As for Windows Hello, it’s useless as biometric access cannot be forced: there is always the option to type password in and that option cannot be disabled. No thanks, hello goodbye.

As for Face and Touch for desktops, the issue is adding and integrating custom hardware at a cost of hundreds of dollars minimum, on top of development costs. Given that a desktop by definition is for a static, secure, known environment i.e. isn’t anywhere everywhere mobile, souping it up for mobile security would be a huge overkill not just from a design point of view, but also marketing. It would also be incredibly poor bang for buck. So scratch that, not happening.

for windows to login using face recognition, the camera has to be verified for microsofts windows hello ,

if you want to know more

https://www.computerworld.com/article/3244347/what-is-windows-hello-microsofts-biometrics-security-system-explained.html

there nothing which would block apple to have a similar verification for touch id or face id by third party hardware manufacturers but currently it seems as if they do not, is under the impression their main mac sales are laptops

you can request they start up such a project using their feedback channel

https://www.apple.com/feedback/

if they do it will be somewhat unlikely they will just adopt Microsoft approval for their hello for their face id and touch id

If you have the Apple Watch, you can use it as a password.

How to unlock your Mac with your Apple Watch - Apple Support

No, because Touch ID is integrated into the main hardware making it impossibly secure unlike the $20-99 readers Windows ones which, because they are third party discrete devices, are by definition insecure.

Touchpad is not an option to integrate TouchID because it isn’t integrated into the main hardware, but is a separate device, meaning it isn’t secure enough. For that same reason, it’s possible to integrate TouchID on the iMac display but the cost/benefit/demand ratio makes it highly unlikely.

Short summary: TouchID functionality doesn’t exist on Apple desktops for reasons above, and what exists on Windows (they thought different you see), isn’t worth a buck.

“there nothing which would block apple to have a similar verification for touch id or face id by third party hardware manufacturers...”

There is, their reputation for security. Microsoft doesn’t have that problem, their bar is very low so whatever they do, it’s a step forward.

Hello,

Unfortunately Mac mini does not support Touch ID or Face ID.

No there is not, and because the options you’re quoting for Windows are more gimmicks than security, they won’t make it in any size, shape or form to Apple. Thankfully.