Triple play on a batted ball not touched by a fielder!
 

So ... how'd it happen?

Batted into fair dead territory.
Illegal bat, BOO, runner missed base.

What is fair dead territory - you mean over the outfield wall? Also - how would you propose the defense get the out for missing a base without touching the ball?

Dead Ball appeal

In field fly by a batter, who is batting out of order, and runner on second base passed by the runner from first.

Bases loaded. Ball hit to the fence. Runner from third is lollygagging toward home. Runner from second is taking it a little easier and the runner from first is running at most of his speed and the batter is a speedster. All 4 runners reach home at roughly the same time. Without fully passing anyone the batter-runner touches home first, followed by the runner from first, followed by the runner from second, followed by the runner from third. I have a triple play. ;-)

Clever! (And I have 4 runs!)

That works. I had one that required no appeals. 3 live-ball outs.

IFF, R3 passes R2, ball lands on R1 standing off the base (or R1 interferes intentionally)

No, the IF would be negated by the BOO

Fair dead ball territory could be either a ball that bounced over an outfield fence or that was a slicing ball down the line, hit in fair territory, but due to the spin rolled or bounced into dead ball territory.

I could see this situation.

Batter uses an illegal bat to hit a ball that bounces over the fence. During the running of the bases R2 (on second) passes R3 and R1 passes R2 and or R3 before the ball bounces over the fence.

Declared IFF. Batter is out 1

R1 motoring in oblivion passes R2 who is off 2B. R1 is out 2

IFF hits R2 while off 2B. Out 3.

There's an echo in here.