I've been having this issue as well.
One button... three presses of the button... that creates three different consecutive punch animations in a row.
Seems like a simple thing, but I can't figure out how to do it.
I tried a toggle system... and that sort of worked... but that only showed single frames... not animations.
Any advice about how to build that, would be really great.
I haven't been able to find any tutorials relating to this online.
Even that amazing street fighter tutorial doesn't have combos.
Each button does only one thing.