My preferred core mechanics (which I used as a guidepost when I designed
my own system) have these two prime features at their core:
- Bell curve distribution
- Margin of Success/Failure that can be tied into both narrative outcomes as well as mechanics (for ex: damage)
Slightly less important but I think provides a lot of benefit is...
- Dice pool system
... as that provides a way to easily apply modifiers to the die pool such that the number of dice in the pool equates to your chances of success.
Quick resolution is also important. So, for example, while I think dice pools can beneficial, there are ways to make them quick to adjudicate and there are ways to make them take forever. Avoid those latter types.
I think that's it! Quick, reliable, and the results on the action dice mean something (through MoS/MoF).