I stumbled across this flight search / comparison engine by chance. It displays all routings on a time line INCLUDING layovers! Thus far, I have only found out one (rather obscure, once a week) route that it does not know. It's US based but does Europe.
Al those times that folks (we) ask about timings and stops, this could be the answer. I am singularly impressed, so do mention any flaws that you find. Whilst they do, naturally, link out to a booking site, it appears to be even handed in it's data and you can sort by convenience!
Hipmunk: Better Flight Search