You are on to something. Let me know.  lol

Online Chess and Correspondence Chess both are general terms. 

i actually like that... (not making a decision, just noting a good name i hadn't thought of)

Simplifies to: Efrmscnifccfpc Chess

Still hard to pronounce though... :)

Controlled Response Chess?  

Anytime Chess.....hmmmm.  Simple.  Erik you may be on to something!!

In the summer turn on your AC.

Quite like '' Anytime Chess '' also. That is simple & terse. Definitely one of the better suggestions. Also is more modern than '' correspondence-chess '' so appropriate given the rising-popularity of chess on i-phones etc..

now I have to go play my AC DC!

adverb   

at any time;  regardless of hour, date, etc.; whenever.

 Slang Dictionary

anytime chess sounds good. Erik can you make another servey about the most popular names and new suggested names?  

Anytime chess could mean anything. Live chess is anytime chess; you can play it whenever you want

AC  Anytime Chess or.....

 All Clear

Alternating Current (electricity; physics)

Atomic Clock

Air-Cooled

Active Component

Air Cargo

Authentication Code (telecommunications)

Arm Chair

Activated Charcoal

Auxiliary Circuit

Anno Christi (Latin: In the Year of Christ; epigraphy)

Added Copy (libraries)

Airspace Control

Ante Christum (Latin: Before Christ)

Atlas Centaur (US intermediate class expendable launch vehicle)

Army Component

Air Controller

Apple Cider

Hydrogen Cyanide

Assistant Camera (film production)

Anti Christ

Autocannon

Altocumulus (cloud formation)

Doesanybodycare (some members of chess.com )

Not agressive enough, lol

I think it should be called Move & Wait Chess.

Because in other forms there's no moving or waiting?

That strikes me as the worst choice. 

Nothing wrong with anytime-chess. Means the game is there to play or leave whenever you want (within game-settings of course 3-day, 5-day, 7-day...)

Turning this feeder off, tracking off.

I am still hungry.

Correspondence chess has a long and dignified history. Some folks don't like tradition, so they invent something new that doesn't work.

There's a saying in my culture (rural, western, Euro-American): if it ain't broke, don't fix it." That's how it was with correspondence chess, or to be more precise server based correspondence chess, before this site invented a new name, online chess.

When I tell folks about one of my online games on this site I usually need to explain that it's a form of correspondence chess that has an unusual name on this site. Then, they usually get it.

A good name doesn't need to be explained to a chess player who is already familiar with different sorts of chess. There is exactly one name for what I play here that I do not need to explain to these many chess playing friends.