Rich-
I have asked someone from development to comment on the USB question.
As to what other core provided items don't use DMA, the best source of information on the hardware aspect is the MCU data sheet. The HAL Transfer API section in the SSP Users Manual (4.43) provides the software overview. The Release Notes should identify anything with hardware support that isn't supported by the current release.
I will do a bit more digging and add a post later today if I find anything else.