How about the chess?

or classic chess?

It's hardly classic.

or cc chess (for classic correspondence chess)

Correspondence just doesn't quite capture it.  It implies mail (or e-mail).

The first of these is vastly superior to the second, IMHO. OTOH, I see little reason to spurn tradition and the established term, correspondence chess. Still yet, innovative marketing lies at the heart of the success of this site, and so your motivation for spurning tradition seems rational.

Can I change my vote to daily chess in the spirit of compromise? 

Yeah, I don't care for "anytime" either.

What about contemplative chess?

In the online world, it is classic. Don't we specify OTB for "normal" chess? The same goes for "correspondence", imho. I hardly ever use post mail or write checks (and I am not a trend-setter!). Regular mail is online now.

Does this mean that even if most people are in favour of Correspondence Chess, you will veto it? If so, why was it listed as a choice? I think we should allow the chess.com community to decide here, and I agree that Correspondence Chess has the most professional sound by far.

daily chess and anytime chess was part of the learning process

daily chess sounds like you have to finish it in a day. It also excludes 3-day limits, etc.

correspondence is old.

Think more choices should be added to vote panel.

Hang Ten Chess, lol

yes

I think a lot people think it's not against the rules to use an engine. because engine use is actually permitted many times in correspondence chess.

Not here it's not.

How about just eSpondence Chess?

How about "comfy chess"?

Hmm, eComfy Chess, maybe.