I'm having a hard time with this level of Ryu's challenge mode:
Jump - Heavy punch
I couldn't pull it off at all. Luckily I found a really good tip on neogaf to do this right:
Jump, press heavy punch, then roll the first hadoken stick motion (D, DF, F). BUT don't press punch yet. Press heavy kick first to get the axe kick. When the first hit for the axe kick connects, roll the second hadoken motion (D, DF, F) and then press P. You should be able to combo into the Shinku Hadoken.
I'll give this a try later and see if it works.
EDIT: I just tried it. It works....but it takes a lot of practice! I could only execute the second part (heavy kick->shinku hadoken) but the first part (jump heavy punch) going into the second part takes a bit of work. It does look spectacular when you pull it off; and best of all, it can't be blocked once the first hit goes in.