What you are describing is a pipe dream of software reuse. People try to do it from the very beginning of IT industry with mixed results.

The devil is in the details - your mixture of features is different than mine. We have constant upgrade of video codecs that offer more capabilities. We have unavoidable security issues that need to be somehow addressed (by version upgrades or replacing some components). Etc, etc, etc...

IMO it is quite arrogant to claim "all problems are the same problem" - they are not even though they might look similar.