From the Linux ATI driver discussion I'm guessing the 3 series will never be supported for this functionality w/ Windows. The 2 and 3 series only had 'UVD' fixed function hardware. ATI have finally exposed some video acceleration for modern codecs like H.264 -- but only on hardware with UVD2. This includes the 4 series, presumably 5 series, and one of the onboard chipsets (HD3200?)
Now the good news for those of us with Linux and a few years to wait for drivers is the open source guys are implementing video decoding in shaders, to be abstracted by the new Gallium-friendly software stack. The bad news it probably won't be ready by the time multi-threaded video decode stuff runs great on hardware of the day in the first place.
Oh, and the API Intel and AMD have chosen for video decoding has a bridge to nvidia's proprietary API. There's no excuse for the Adobe guys to not use it.
According to this chart (not sure of the accuracy) the 2xxx/3xxx mobility chips only support UVD, or UVD+. The mobility HD 3xxx seem to support UVD+ (with the exception of mobility 3200 and 3300 which support only UVD), the mobility 2xxx support UVD as well.
The question is why can't the discreet HD 3xxx cards support flash acceleration just like their mobility HD 3xxx counterparts? Both the discreet and mobility are either UVD or UVD+. And why can't the discreet and mobility HD 2xxx series support flash acceleration as well if the mobility HD 3200 and HD 3300 are capable of flash acceleration since they only support UVD?
Essentially if the mobility HD 3300 and HD 3200 support flash acceleration with only UVD, then every card on this list should be just as capable as of flash acceleration since they all at least support UVD or higher. Something is not adding up.
http://en.wikipedia.org/wiki/Unified_Video_Decoder#
Cypress Radeоn HD 5800 Series------------UVD 2.2
Juniper Radeоn HD 5700 Series------------UVD 2.2
RV790 Radeon HD 4890 Series------------UVD 2[7]
RV770 Radeon HD 4800 Series------------UVD 2
RV740 Radeon HD 4700 Series------------UVD 2.2
RV730 Radeon HD 4600 Series------------UVD 2.2
RV710 Radeon HD 4300/4500 Series-------UVD 2.2
RV670 Radeon HD 3800 Series------------UVD+
RV635 Radeon HD 3600 Series------------ UVD+
RV620 Radeon HD 3400 Series------------ UVD+
RV630 Radeon HD 2600 Series------------ UVD
RV610 Radeon HD 2400 Series------------ UVD
RS880 Radeon HD 4200/AMD 785G Chipset-UVD 2
RS780
RS780D Radeon HD 3200/AMD 780G Chipset
Radeon HD 3300 IGP/AMD 790GX Chipset -------UVD
M98 Mobility Radeon HD 4800 Series-----------UVD 2
M96 Mobility Radeon HD 4600 Series-----------UVD 2
M92 Mobility Radeon HD 4300/4500 Series-----UVD 2.2
M88 Mobility Radeon HD 3800 Series-----------UVD+
M86 Mobility Radeon HD 3600 Series-----------UVD+
M82 Mobility Radeon HD 3400 Series-----------UVD+
M76 Mobility Radeon HD 2600 Series-----------UVD
M72 Mobility Radeon HD 2400 Series-----------UVD
M71 Mobility Radeon HD 2300 Series-----------UVD