1, forget Atomic - it doesn't support Flash at all.
2, I've very thoroughly tested the currently available Flash browsers: SkyFire, iSwifter, Photon, Puffin and Media2Go. Of them, I've found iSwifter, Photon and Puffin the best. If you want to play back audio (particularly if it's stereo), you'll want to pick Photon.
Here's some of my writeups of these browsers from my dedicated article:
UPDATE (06/13/2012): Frash couldn't run any of the test Flash video / animations I've thrown it at under 5.1.1 (tested on the iPad 3). The test videos included those of QVC (
homepage). BTW, speaking of QVC, I've checked the videos with
Photon (
AppStore),
iSwifter (
AppStore) and
SkyFire (three Flash-enabled browsers in the AppStore). SkyFire didn't recognize videos at all.
UPDATE (06/22/2012): I've conducted another series of tests with
THIS video (also see
THIS and
THIS thread). As expected,
Frash didn't work. Neither did
SkyFire, the first ever Flash player to hit iOS. Unfortunately, it seems to have pretty low compatibility rate lately and I, therefore, don't recommend it at all any more.
I've found
iSwifter and
Puffin (of the latter, tested the commercial version (
AppStore link) - the free lite version, as opposed to iSwifter, doesn't support Flash at all) the two best players (I'm in Europe so your mileage may vary if you're in the US), followed by
Photon.
UPDATE (07/12/2012): today, answering
THIS question, I've tested the Java applet compliance of the Flash-capable Web browsers.
Unfortunately, remote emulation-based, inexpensive browsers like
iSwifter (which is just a proxy to a server-side Firefox) can't run applets at all. Neither can
SkyFire, Puffin or
Photon, the other three, known remote desktop and/or stream transcoding-based browsers. That is, your only choice is full remote terminal access. For example, the above-introduced
AlwaysOnPC runs the applets at
http://java.sun.com/applets/ just fine.
UPDATE (07/14/2012): upon a reader's request (
thread), I've tested the subscription-based German sports streaming page,
http://www.fohlen.tv/. It works with all three recommended Flash browsers (but, as you may have guessed, not on
SkyFire), that is,
iSwifter, Photon (this after explicitly switching to Flash mode with the thunder icon) and
Puffin.
UPDATE (07/28/2012): helping another user (thread
HERE), I've tested the Flash audio players at
http://www.theraa.com/media/ and
http://music.cbc.ca/ in the Flash-capable browsers. Based on the results, the Flash players' playback quality is in strictly the following order (from best to worst):
Photon: most recommended: it transfers
stereo sound as opposed to iSwifter and Puffin!
iSwifter: mono, no problems
Puffin: mono, minor problems (static noise from time to time etc.)
Finally the non-working ones:
SkyFire, as could easily be predicted (after all, it's for video playback only, not the more generic full Flash emulation / streaming), doesn't recognize and, therefore, can't play back the audio tracks.
Media2Go has turned out to be useless as always in my previous tests. It does not support any kind of audio transfer; in this case, the theraa.com/media/ Flash widgets just don't exit the
Buffering mode (and there's absolutely no audio with the music.cbc.ca player either, of course).
UPDATE (08/29/2012): I've run tests to find the best browser to watch / listen to TV and radio broadcasts on Finnish Broadcast Company's (still) Flash-only and, therefore, non-iOS-friendly
video / audio archive. The results are exactly the same as with the previous update:
Photon turned out to be the best. While
Puffin delivered the same framerate as Photon when playing videos, it did have audio problems, just as during the previous tests.
iSwifter had a somewhat lower framerate when playing videos.
SkyFire couldn't recognize the video player at all. Unfortunately, none of the usable (
Photon / Puffin /
iSwifter) browsers have a local server in Finland; therefore, programs restricted to Finnish audience can't be played back with them, not even with the listener being situated in the country.