Photoshop is tricky, though I suspect it's not well threaded so my guess would the the i5-4440.
Video editing (during the conversion part) would likely be better on the FX-8350 though I can't confirm that. In HANDBRAKE for example, I use all eight threads (4 physical cores) at 100%.
720p phone conversion can be done two says:
a) Hardware accelerated (such as NVENC on an NVidia card), with minimal CPU usage, or
b) Software only (i.e. Handbrake)
Quality using hardware acceleration is often poor quality but may look just fine on a phone.
For GAMES, then i5-4440 would be faster for 99% of the games.
I'll see if I can find any good benchmarks..