I just played my first session of D&D last week and I liked how quick determining initiative was. For those of you who don't know, you roll a D20 then add your modifier and give the final number.
Here is my idea:
1. Roll a D20
2. Add the number of the characteristic that is needed (cool, vigilance)
3. Add the number of how many levels you have in the skill cool or vigilance
Ex: Scott rolls a D20 and gets a 15. He adds the modifier of 3 for his Presence characteristic. He then adds 2 for his levels in cool.
15+3+2=20 total initiative roll
I decided during my session to pitch my idea to our group and they went for it. We really liked how much easier and quicker it was to determine the combat order.
I know it might not be perfect and it defeats some of the narrative stuff the proprietary dice from FFG do, but it worked pretty well. Let me know what you think and if I'm missing some giant obvious aspect I forgot to factor in!