Burning Wheel has a fun way of doing combat rounds. Everyone acts simultaneously. The actions interact with each other according to a fight matrix. A standard "exchange" is 3 "volleys".

An exchange might look like this:
Lord Bob
Volley 1: Avoid
Volley 2: Counterstrike, Strike
Volley 3: Counterstrike
(A character with Reflexes at 4 gets to add an extra action to a volley of choice)

So if an opponent (with Reflexes 5) scripted their exchange like this.
Nimble Jack
Volley 1: Strike, Push
Volley 2: Feint, Disarm
Volley 3: Strike

The first Volley would start off with Lord Bob ducking and weaving avoiding Jack's basic attack. But then Jack would push. Then volley 2 starts, Jack (very likely) stabs Bob (Feint beats counterstrike) then Jack would attempt to disarm Bob but Bob (very likely) stabs Jack. Then in the third volley Bob would have a chance to deflect Jack's attack and score a hit himself.

You can sacrifice an action to go first (instead of seeing how it plays out on the action matrix) but your opponent can choose to cancel this out by sacrificing an action of his own.


I've heard the Doctor Who RPG has combat rounds that resolve interestingly...
Characters that are talking first
Character running away go second
Characters using a skill go next
Characters carrying out violence go last.

So the Doctor wants to give a speech. The Daleks want to exterminate. Well looks like they have to listen to a monologue first. It fits the fiction.