"That was the whole point of Time Machine."
The point of Time Machine is to be able to recover stuff going back a certain period. If you want to be able to recover stuff for ever then you need a different sort of backup strategy.
You'll need a very, very large NAS with RAID that allows you to swap out disk drives when they fail without losing data. It will need to be future-proofed, so you'll be looking at pro-level kit with some agreement with the supplier for guaranteed ongoing support for the rest of your life. This NAS will, of course, need to be backed up too, or you could run parallel backups. You'll need an offsite backup too, in case your house floods or a lightning strike that's stronger than your surge protection allowed for - you have got surge protection on your TM, haven't you?. I assume you've also got a UPS for your TM to allow for graceful shutdown in case of power outages. The offsite can be done over a network connection - again, there are companies that can do that for you - and you'll need a backup of the offsite too. I'm not a backup pro and I'm sure that someone who really knows their stuff would tell me that this approach isn't enough, but it would be a start to meet your odd requirements to be able to recover every file in every save-state going back for ever
I reckon you could do all the above for less than £30k with annual support costs of less than £1k per year, but it really does depend on what you mean by "the past", how much data you've got and how often it changes.
Or, you could understand how TM works and develop your own file management and archiving system. For example, in the UK you're only required by law to keep tax information for 6 years. Most keep it for 7 years just in case. If you got any tax-related files that are more than 7 years old then they are a waste of space and you should delete them. I'm curious as to what are these files that you need to be able to recover every single version going back for ever?
Remember also that a lot of your TM will be files used by apps and bits of the OS. If those things go obsolete or change significantly then those files are useless - if you can't run an app then why would you want to be able to access its plist from 2015?
As others have pointed out, you need to understand the difference between backup and archive. If you want to keep scans of your daughter's wedding invitations and meal menu then archive them to a separate set of discs.
Finally - if you've only got one TM disc then it's a poor strategy. Drives don't last for ever. I run:
a daily time machine to an airport on prem
a weekly TM to a NAS on prem
a weekly plain copy of my data files, music and photos to NAS on prem
a weekly plain copy of my data files, music and photos to USB disc on prem
a weekly TM to a USB disc off prem (metal shed at bottom of garded)
a weekly plain copy of photos, music, data to a USB disc off prem (metal shed)
plain copies of photos on a USB disc at my folks each time I visit
plain copies of photos on a couple of hundred DVDs at my folks
I test my TM backups about once a quarter to make sure I can recover files successfully because, as you probably know, backup isn't a backup until you've restored it.
Finally - iCloud is not a backup and should not form part of any backup strategy.