Perhaps, HTML, CSS and JavaScript have the most number of interpreters. Every browser is an interpreter of them. And each interpreter varies significantly in terms of implementation of certain aspects of these languages. And since languages are defined on the basis of their implementation, not specification or documentation, this raises an issue.
So, I think we should define some standard interpreter. If your solution in these languages works fine on it, then it's valid, otherwise not. One possible way to do this can be making Stack Snippets execute on the server rather that Client's browser (on PPCG at least). The Snippets can take in source code and get it executed remotely on the server. They can, then, send back the result as an Image Map and some cross-browser-compatible JavaScript code that handles the events like clicking, hovering etc. Doing so will cause consistent results with the interpreter present on the server, no matter which browser you are visiting the page from. But I do understand that redefining a full aspect of Stack Exchange network won't be too easy.
Alternatively, TIO Nexus can have HTML and CSS options along with the other languages (JavaScript one is already there). But I also understand that writing a parser for two broad languages can be tricky.
Another solution that can be is making a browser (like Chrome, Firefox) etc., which exactly follows the specifications of these language. The BOM methods and properties can be discussed in another Meta post.
I admit that all the solutions above will be very hard to implement and most probably will never get implemented (I added them just for the sake of some probability that still turns in favor of them being implemented). So, on the very least, we can define a browser (such as Chrome v58.0.3029, Firefox v53.0a1 etc.) as the standard. In other words, we can examine the validity of a solution by only running it in a browser that we can agree upon in another Meta post.
So, what do you think about these suggestion? Should any one of these be implemented? If yes, then which? If not, then why not? Please post your ideas as answers. Consider adding a comment when you downvote.