1) Your attack roll in excess of the target's AC gets added to your damage roll.
2) If you beat the target's AC by 5 or more, you do additional damage. Perhaps a d8.
3) If you beat the target's AC by 5 or more, you get advantage on your damage roll.
I plan to try out these ideas a little later, but I was hoping to hear from the rest of you. Have any of you tried these ideas before? If so, what effects did it have on the game? Whether you have tried one of these ideas or not, what do your think of them? Do any of them seem interesting enough to want to try them?
There are a great many problems that can be circumvented by players and DMs having a mature discussion about what the game is going to be like before they ever sit down together to play.
The answer really does lie in more options, not in confining and segregating certain options.
You really shouldn't speak for others. You can't hear what someone else is saying when you try to put your words in their mouth.
Save the breasts.