DubbleClick :
...for general usage, office work or web browsing and watching videos, an I3 is superior in every way.
General usage, office work or web browsing don't require "the latest," an APU is more than competent. Heck, you can still browse the internet & watch HD content on a Pentium 4.
And the encoding performance advantage depends on which encoding tests are being run and the ram / mb chipsets being used. Either the i3 or APU could have an advantage.
Yeah, I know, here comes the "Intel is better in single-threaded apps" argument. Fact is, Intel's slight advantage is barely noticeable in "general use." Add in the fact the HTML 5 likes physical instead of virtual cores (yes, it can take advantage of multiple cores) and Intel's advantage shrinks even further.
The i3 is superior in every way? No. In some ways? Yes (especially performance-to-power-consumption ratio).
Same for the APU. Except the APU has the added benefit of the superior graphics chip. Which is why an APU is a great budget chip for "general" use.
Now if you were talking about the 5th-gen i3 (the i3-5157U) with Intel Iris Pro graphics, then yes, the i3 becomes the better option.