from my experience, ive learned that its usually one of ten things wrong when the engine rotates but wont start. you have already ruled out most of these but here is the list in case anyone needs it for future reference.

1. Fuel tank empty.
2. Battery discharged.
3. Battery terminal connections loose or corroded.
4. Leaking fuel injectors, faulty fuel pump, pressure regulator, etc.
5. Fuel not reaching fuel rail.
6. Ignition components damp or damaged.
7. Worn, faulty or incorrectly gapped spark plugs.
8. Broken, loose or disconnected wiring in the starting circuit.
9. Loose distributor is changing ignition timing.
10. Broken, loose or disconnected wire at the ignition coil or faulty coil.

So pretty much make sure everything is tight, flowing, and dry. Hope this helps.