I may be wrong but, as far as I recall, the only HAQ with day-date is the Grand Seiko models based on the 9F83 caliber. The day of the week is nowadays very hard to find and the exceptions are not high accuracy.
SnickerZ I am kind of where you are on coming full circle and looking at the 9F quartz from Grand Seiko. The more I read about them the more I want one. Is a watch like the Seiko Astron GPS worth considering. Not a simple face and maybe not a true high end quartz but love the size and accuracy. I really like their diver 9F but it even lacks a date.
Would the OP consider vintage? The Crystron 4 Mega cal. 7370 and various Twin Quartz calibres have day/date complications. In digital format there's also Casio's watches with module 75 which obviously also include the day and date.
There are probably also some more modern ana-digis that present both the day and date, but I'm slightly lacking in knowledge about those. Besides, I get the impression that a digital or ana-digis isn't really what the OP is after.
I like this watch too. But, it seems to be plagued by tic marks misalignment-- search this forum for several posts about it. The one I saw in person was misaligned in one quadrant of the dial, which just should not be the case with any quartz GS. Maybe they'll correct it, but frankly, I was surprised GS allowed these to leave the factory, and it's deprecated my opinion of the marque.
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