Intermittent Misfire - looking for a second opinion

So this is a waveform of the misfire? Would you happen to have a baseline waveform to compare it to. That waveform does not have a downward sloping burn line that usually accompanies a rich condition. 

I never actually feel a misfire, the client just started when cold, the light comes on. The car is very well maintained. I'vetried swapping parts around with no change. I was think either leaking injectors or some kind of carbon issue.

The most common thing we find on these first generation Mini Coopers is the exhaust valves leak just slightly, so you get the intermittent misfire. A lot of times they don't misfire enough to set a code, but you can feel it run a little rough. You may be able to find it with a simple compression test. One or two cylinders will be low on compression.

Does the misfire only occur cold and go away when hot? Also what type of induction service was performed?

Could you do a longer time base to create a parade pattern on the affected cylinder, or give multiple captures? I may have an idea with a few more complete captures.

Check this out , is about the same problem , cold misfire

It's port injection, however I did find Arab on carbon build up on the pistons. We did a basic chemical induction cleaning (through a vacuum port) and it seemed to help for approximately 6 months. 

Hey Ryan. Keep in mind that some Mini Coopers will report the wrong cylinders misfiring. Your P0304, may actually be a P0301. I've chased a few misfires on the early models before I learned about this.