Ardyss Body Magic range.
Expensive, but totally worth it IMO.
You will have to find your local agent (not available in shops), and I strongly recommend not buying off ebay (even though I'm linking you to one there to show you, lol), as they really need to make sure that you get the right size, but I tell you what, those babies will suck it in and hold it in!
The model I have is like the one on the link, and it's great because:
a) it has hooks and eyes on the inside leg and crotch, and (once you get the hang of it), it means you can go to the toilet without taking off all your clothes, always a bonus, I find, lol.
b) One thing I don't like about corselettes is that they usually are all in one, this one is underbust so you can wear your own bras with it.
c) the fact it's shorts means it helps prevent inner-thigh chafing.
d) There are 3 rows of front hooks so you can adjust it tighter or looser as needed.
e) The straps are removable
f) I swear that with time, it does help remoulding your fatty bits a bit!
Finally, for me, with my back problems, it is so solid that it does give me some welcome support to my spine, although I realise it's not everyone problem!
The cons are that they are expensive, about £80, that it takes a bit of time to get used to them (although once it's moulded to your shape, it becomes easier!), but to me, these are minor issues compared to the pros!
And no, I don't work for them!
Ardyss Body Magic Shaper Drop 2-3 Dress Sizes - Black/Beige 28 - 42 | eBay