I have perhaps a little different perspective than others. Being a lefty, I generally spend more time playing more direct through the front, with a smaller launch angle, and don't have as much friction at the breakpoint.
Like everyone else, I think the ball must get through the heads. Nobody wants a ball that hooks at their feet.
I prefer a ball with a good midlane read. Something "roll-y", usually with a shorter, fatter type of core. This gives me more control of the midlane, and usually a more predictable breakpoint. I generally get into trouble with something that completely ignores the lane until it gets to the breakpoint. Sometimes it will jump, but other times it can have a tendency to "squirt", leaving a variety of designer spares.
From the breakpoint to the pins, I prefer more of a strong arc. I realize the sharp, "Oh my God, did you see that?" reaction is sexier, but I prefer long, boring strings of "ten in the pit" over the occasional thunderous, messenger-flying hits mixed in with "What the heck is that?". And since I'm normally playing less launch angle, having a huge recovery and excessive entry angle is not necessary.
The ball must have some coverstock versatility, so solids or hybrids seem to work better. It is a rare pearl that can give enough of a midlane read. The core must be able to give a good variety of post-drilling differentials and reactions, but since that's a given with all the Radical designs I can't believe that would be an issue.
Anyway, thanks for the opportunity. It's always refreshing to see a company that is actually interested in what the end user thinks.