Why multiple animations? Pick one. And don't pick the cube one.
The pull over animation should not have transparency behind it— it makes it look messy and something you'd see in Windows 7. No.
Simply swiping away notifications is something that would be very inconsistent with iOS. In most apps, swiping left or right will bring up a delete button, but swiping alone won't delete it. No.
On the Mac, how would you remove notifications? Clicking and dragging? No.