Hi Sue,
There have been similar questions from other users. As you noted, there are no more Long Term Releases. LTM's used to be supported for 3+ years and were considered "stable", with only minimal changes with Fixpacks addressing vulnerabilities. While it's true that the 12.0 branch is no longer under active development, it's not considered an LTM or guaranteed to have fully tested future Interim Fixes or Fixpacks, and as even evidenced in 11.2.4, FixPack 5 made dramatic changes to PDF rendering that caused PDFs to render blank in enough cases that IBM had to issue an advisory.
Since everyone uses Cognos differently, with different hardware, etc, I would highly recommend not asking the community for a stable version, but rather when you decide you need to upgrade, take the latest "non developmentally active" branch, which in this case is 12.0, and latest FixPack, since those are tested more than Interim Fixes, and install on a development server. Then test, test, test, test. You may or may not encounter any issues but to save yourself heartache later, test as many ways as you can. If you encounter any problems you'll need to either find work-a-rounds or open a support ticket with IBM.
Only when you feel confident everything good, then you can deploy to production. And be sure to do your deployment and testing in your dev environment exactly as you plan to do in your production environment. Installing clean vs over-the-top upgrades are not the same so your end result could be different when you go live.
We have been using Cognos since Decisionstream 7 back in 2006 and especially since IBM has taken over, we no longer apply fixpacks to a version we're live on, as we've been burnt too many times in the past with something they've broken.
As Andrei noted, there are still people running C10. The problem with that scenario is eventually you won't be able to upgrade the operating system it runs on, so then you're no longer getting support from IBM, but you're no longer getting security from Microsoft, RedHat, etc.
Regards,
Wayne