Large cup bras up to a JJ and some even in a K cup are readily available from a USA online retailer that will take the time to size and fit you personally at
http://www.britishlace.com In general, finding an online bra/bathing suit site which caters to the larger cup sizes is more common in the UK, which means having to deal with extra shipping and customs tariffs if you live outside of the UK.
Fantasie bras (in particular their Belle 6001 style) seems to be a consistent winner.
AOE bras seems to be another winner. If anyone can confirm/refute this, please drop me a note.
Lady Cameo appears to be a solid choice as well.
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Sheer Fantasy has had some positive comments.
The “shelf” style bra is way, way more supportive & comfortable than any underwire or pseudo-underwire bra.
derf79 indicated efforts/interest in redesigning the bra. No word on progress to date, but his contact info is in the link, if you'd like to help out.
The Bioform Bra deserves an honourable mention, although no word on whether this is available in the larger cup sizes.
Per Suzanne (wife of Dr Baeke): “Also girls with implants v. naturally large breasts differ in how the breast fits in the cup of the bra. It all has to do with the shape of the breast. Natural breasts tend to not be as full and “hang” at the larger sizes. Implants will generally be more rounded on the sides and top. But how much breast tissue the girl starts with has an impact on the overall shape as well. Depending on how deep or shallow the cup of the bra has an effect on how the breast fits into it. This is by no means an “always” fact but after sizing as many girls with implants as I have and natural breasts there are bras that fit one type better than another. Chantelle and LeMystere fit breasts with implants better than Eveden. Again, not always an absolute.”
Once a woman gets past a DD or so, the choices in bra styles drop off drastically. Once she gets past H or so, the choices in bras of that size drop off even more. Once she's past J or JJ, the bra choices are less than 3. Large size push up bras simply don't exist for a couple of reasons: 1) Very few women with H cup or bigger sized natural breasts want to emphasize them; most try their darndest to hide them; 2) Natural breasts that big generally won't stay in a push up bra; the push up bra pushes the breasts up & in. If you push an H cup breast up & in, its tends to go up, in & then out over the top with not a lot of help. If you do that with a K cup breast, it simply flows out of the cup as soon as she moves. It's not a question of style, but a question of physics. Breasts that big are generally soft & pillowy. They are gonna take the path of least resistance. Implanted breasts that big can get away with exposing more without fear of falling out simply because the implant has a kind of built in “bra” in the lining of the implant. Not so with natural breasts.