Great post/thread idea.
I like and appreciate all of the genres you mention, though am most familiar with no wave.
I'm kind of with you on some counts regarding contemporary jazz and improvisation. Of course, I have a soft spot for lengthy Cecil and Coltrane solos, but the things I've been most attracted to in recent years are twittery collective improvisation and raging Euro-thrash din, or the Tristano-ites. There's a nice little project called Two Bands And A Legend that features The Thing (Gustafsson/Haker Flaten/Nilssen-Love), Joe McPhee and the Norwegian punk band Cato Salsa Experience. Mostly short songs, not so much "spastic" and more of a 60s-garage-revival hybridized with post-FMP freedom. It may be a parenthetical aside at this point in the music's history (and will probably always be), but it works in practice as well as idea.
For a time, I was convinced that the music I really wanted to hear hadn't been made, though I always sought to find what it was. My search isn't as obsessively urgent as it used to be (based mostly on pocketbook constraints), in some ways it is still true. I haven't yet found the combination of jazz/open improvisation/folk/ragas/post-punk that I'm looking for, but have come close on a few occasions. If Daevid Allen and Arto Lindsay co-conducted the People Band, that would be up there...