As far as fast compact digital P&S cameras go, I've been on a mission myself.
It started when my beloved Kodak V610 got damaged by the kids. Arggghh. Don't call CPS on me, I was calm about it.
Let me say that as stereo types go, I consider Olympus and Fuji to be seriously NOT worth buying, slow and inferior in this class at least.
On the happy side of those stereo types, Samsung and Kodak have impressed me.
I will discliam that when it comes to the Kodak SLICE/SL/CE/SLCE. Not worth 150usd in my book.
Its not that I care if the camera lacks WIFI/Bluetooth, or TV/HDMI out. What bugs me about the SLICE is:
Limited shoot modes, Horrible menu, poor touch screen, and crappy video (not the biggest deal, but its CRAP).
In "smart mode" the camera is too slow. In action mode, its not bad, and the same for the programmed mode.
In fact, as nearly all Kodaks (excepting the Z915), the flash in action/program is very fast too.
ALL of those kudos are meaningless because everytime you power off the camera, the mode is defaulted to "smart".
A big concern with this camera is the exposed optics - there is only a plastic cover atop the lens.
In contrast, the Samsung CL65 (AKA sT1000) is the opposite of those problems I've seen in the Kodak.
Starting with the lens, its got a cover that moves. And not the I care, but some folks do, it has:
GPS, WIFI, and Bluetooth. Touchscreen is much better and menu is similar but better.
It takes fairly fast and vivid photos. The flash is quick, granted its been charged.
And that's one aspect where the Kodak beats the samsung, the only other is a slight speed advantage.
I've also used the Samsung TL210. It is a ring-style compact which takes even more vivid and deep photos.
But not as fast as the Samsung CL65. My conern with any ring camera is jamming/damage/failure of the motor(s).
If all you want is speed, any kodak can get you a F/11 type picture in an instant. But, the samsung CL65 is so far the best camera for the price, with plenty of features including above-average speed.
Not quite pleased with that compromise, I've tried several of the larger cameras but still no avail.
I've yet to find a big-bodied non-SLR worth its size (i.e. the Nikon 110 or the Fuji S1800 - both junk)
So, its the CL65 for me.
PS
If speed is your sole concern, I advise you stay well away from touchscreens. Needless and un-optimized feature.
PSS
Here's a table of the hopefuls - note I added my expectations of the speed as a contrast, mostly based on body/reviews/price...
PRICESTYLESOURCEMAKESpeedExpected140RINGCOSTCOSAMSUNG TL11055140.3RUGGEDXCOSTCOFUJI XP1065200FEGOKODAKKODAK 91547200RINGSTAPLESKodak M57566100RINGCOSTCOKODAK M38155270VERTXWALMARTKODAK SLICE87209FEGOCOSTCOFUJI S180069170.4RINGCOSTCOSAMSUNG TL21067180.2VERTCCOSTCOSAMSUNG CL6577