90% of the luck in 9 ball is lucky safes. Apply the Grady rule of giving the incoming player the option of making his opponent shoot again after a non-called safe, and nearly all of the luck would disappear, especially below the pro level.
Here's my favorite "new" game: 15 balls, break hard, run any 6 balls in any order, and then run the remaining 9 balls in numerical order, with the final ball serving as the winning "9" ball. This could be any ball between the 9 and the 15. As in all traditional games, if you make a ball on the break you get the first shot after that, so if (say) you make 2 balls on the break, you only need to shoot 4 balls in any order before reaching the rotation stage.
The advantage over traditional 9 ball is that there's more traffic to navigate, and more choices to make, but then if (say) the 12 ball winds up near a pocket after the break, then by clearing the 13-14-15 balls off the table following the break, you may be able to set yourself up for a quick win once the game gets to its rotation stage. I invented this game at the Purdue University pool room 46 years ago, when 9 ball wasn't allowed there, and within a few days I found it was a much more popular game than 8 ball, at least for the week I was staying at Purdue.