XDA is a development site not a support site. As the term "Best" or "Most Stable" is a very subjective term, such members are expected to do their own research, read through the development threads, and decide what is "Best/Most Stable" for them.
The only results that would be posted here are what each member has found to be "Best" or "Most Stable" for them by experimentation based on their phone/usage/setup/apps/signal strength. And at times, these thread spiral into arguments over which is perceived "Best/Most Stable".
Please take the time to read through the device specific development threads, and interact with the members there, to learn all about the software or ROMs that are available to make your own decisions.
As these type thread become arguments and are subjective, this one too shall be closed. Plenty of other places to garner or derive information on this topic already.
Sorry for the inconvenience and thank you for your cooperation.