I prefer not to have static damage, it makes the game feel too predetermined, and just seems unrealistic to me.
1d8, 2d8 etc. Works better mechanically as rolls are weighted towards the centre (as others have said earlier) and that just feels like the most accurate system for dice rolls to me.
However, it is unclear to people not experienced with cRPGs, and representing something like 1-7 as 2d4-1 can be a bit clunky.
For clarity, I like x-y damage over xdy (Or, more accurately, xd(y/x) damage), but I think it should be representing a system which weights rolls towards the middle, mechanically.
Alternatively, a system which ties your roll to hit directly to how much damage you deal could also be interesting. It's been done before in a lot of d10 based systems (White Wolf comes to mind), but that might just be over-complicating things.