I've thrown them all and I will try to give you the differences in what I see between the balls you mentioned.

Dream vs. Bank Pearl - for me I see the new Dream way more consistent of a reaction not the over under that I saw with the Bank Pearl.  Also the Dream has more length and more pop off the break point.  When I need to move in and play deeper angles the Dream can carry the 10 from in and I didn't see that with the Bank.

Dream On vs. Bank - Now the original Bank was one of my favorites for sometime.  The Bank was great on heavy conditions not that the Dream On can't just the Bank was better when comparing the two.  Where Dream On is better is if you need to open your angles a little more on the fresh.  Dream On can continue enough to keep above average carry while the Bank seem to finish a tad flat.

You will be very impressed with both the Dream and Dream On as they are both very nice pieces. Good luck on your search and please let me know if you have any questions.

Saw a dream on in action, looked great, now I want one!

Since I have had that ball, it is the only thing that I will pull out of my bag.  Works excellent at the start of the game all the way through when the lanes transition.

Personally for me the Dream On is way more capable of being more versatile.  The Bank never had enough at the breakpoint for me to play inside lines.  But the Dream On has more movement off the spot for me.