How about a list of speakers that are time and phase coherent? Thiels and what else?

Not everyone can hear peaks and dips in frequency response.

I was referring to severe peaks and dips.

there are many that find the virtues of time coherence indispensable to their listening.

If time coherence was that important every manufacturer would be doing it.
And every audiophile would insist on it.
That's not the case 

I have Green Mountain Audio Continuum 3 with the HX crossover..They educated my listening on what phase and time coherence sounds like

You're not hearing time coherence. What you're hearing is the result of all the important factors that have been sacrificed to achieve time coherence. 

The use of first order crossover causes an unnecessarily wide overlap to supposedly achieve phase coherence. This creates lobing and unnecessary stress on the drivers. The reality is that no woofer can do high frequencies. Thats what tweeters are for. No tweeters can do bass. That's what woofers are for.

If you give me your green mountains, I'll make them sound ten times better just by upgrading the crossover. 

Most people agree that frequency response is an important factor. Everybody can hear a peak or dip at any frequency. The same cannot be said of time coherence. 

Time coherence is at worst a myth.

DIY would seem to be your perfect answer to your perfect sound.

You could be right about that.