4. Blumlein Stereo
In a way, Blumlein stereo (named after Alan Blumlein) is a lot like XY, only with greater stereo separation and potentially better room ambience. This setup uses two figure-8 microphones positioned so that the elements cross at right angles and as close to one another as possible. Because the figure-8 polar pattern offers complete off-axis (side) rejection, these mics pick up an almost completely isolated (coincident) stereo field.
Well Blumlien is X/Y, just using fig-8s, even if Alan actually arranged his fig-8s in M/S. But that's just picking nits (The better term for of describing that entire family of arrangements is
coincident , thus differentiating them from
near-spaced and
wide-spaced arrangements in regards to what differences matter most)
What I feel compelled to disagree with is both halves of the last statement:
Fig-8's do not provide "complete off-axis rejection", but are exactly as sensitive to sound arriving from in back as from the front. Nor do they offer anything like "complete side" rejection. They do provide reduced pickup to the side quadrants in comparison to the primary front/back axis, however the back half of a cardioid or supercard picks up significantly less than the side of a fig-8. Blumlein does offer good off-axis rejection directly up and down, but I don't think that's what they're referring to.
"Completely isolated (coincident) stereo field" seems especially misleading. No first order microphone pair can achieve that and Blumlein has is equal sensitivity across all horizontal directions, making it one of the least isolated configurations second only to omnis or something like back to back cardioids. The imaging across the front quadrant (and of the back quadrant super-imposed on the front) is very precise if that's what they mean, but that is based in a particularly evenhanded "stereo bleed" hand-off between channels (rather than isolation between them) that is in essence identical to hand-off between the stereo channels of a stereo pan-pot. The same amount of "bleed" happens between the front and side quadrants, and between the side and back quadrants. Its not "isolated" at all really in any sense, except directly along the exceptionally narrow null-planes, which are generally much narrower than many folks imagine them to be.
Heading outside to shake my fist at a cloud now!

I guess I should actually follow the link to see what else they have to say now that I feel better.
I really like 8's but am with kuba e on generally preferring crossed hypercardioids to Blumlein most of the time for taping, sometimes with a smaller angle (applies to Blumlien fig-8s too), and like to do some M/S tweaking afterward to really tune it in either way.