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Pocket Mutation and Rococo are excellent examples of track 2s, and both
appear among the all-time top 20 games played on Game Courier. Kudos to
their designers; they truly deserve it. Most of the games on that list
have quite a pedigree. There might well be some worthy candidates there
for our hypothetical next chess, too, but this is a track 2 discussion.
Lol, this is where the 10 or 15 of us who actually play/understand the
truly bizarre games hang out. But among all the really strange games, you
find some themes of interest popping up. 

Multi-move games in general are a bit of a curiosity, but not an area open
for any real design work, or at least this seems to be the case. Also in
looking through the listed multi-movers onsite, I noticed only the
'standard equipment 8x8' games have a multi-move tag in our submission
form. And several games listed as multi-mover are not. This has made it
difficult for me to fully research this topic. Pritchard's Classified
Encyclopedia of CVs has no different information than this site, and
googling provided other places with far less information. It's been an
hour since I started this paragraph, during which I re-googled and dug out
Pritchard and such and found nothing more. So here, I'm reduced to
asking:
Are there any more multi-move chess variants out there?

One I've learned about rather recently is Fred Lange's Megachess [not to
be confused with David Howe's Mega-Chess]. This is the only game I know of
[aside from several of my own] that uses the number of kings a player has
to determine the number of moves that player may make in a turn. I favor
this approach, because it gives an in-game rationale for number of moves
per turn, rather than using an arbitrary rule imposed from outside, like
the progressive chesses, for example. And it gives a basis for some very
interesting effects. At least, I think they're interesting; it remains to
be seen whether anyone else does. Guess I'll post some rules and see.