Pretty much described my issue in the tittle, here's a video to help you understand.

 

https://imgur.com/a/BeM6k0z

Give us a chance by providing full vehicle details.

27 minutes ago, actuallyitschris said:

Pretty much described my issue in the title

Well, your video tells me that the charge light and oil pressure light are working normally. I have a suspicion that the immobiliser is stopping the car running, but need details to be certain.

13 minutes ago, MicMac said:

Give us a chance by providing full vehicle details.

 

It's Skoda Octavia 2 Combi RS 2.0 TDI 170HP Common Rail Engine with a DPF, would you like anything else as far as details go?

1 minute ago, KenONeill said:

Well, your video tells me that the charge light and oil pressure light are working normally. I have a suspicion that the immobiliser is stopping the car running, but need details to be certain.

 

Wouldn't that make the immobiliser light illuminate? Also why would low oil pressure come on?

Anyhow I'm going to try my spare key in a second and let you know the results.

10 minutes ago, actuallyitschris said:

Wouldn't that make the immobiliser light illuminate? Also why would low oil pressure come on?

1. Only if there is a separate immobiliser light on your car.
2. Big hint; the oil pressure light comes on when the engine isn't running.

Just now, KenONeill said:

1. Only if there is a separate immobiliser light on your car.
2. Big hint; the oil pressure light comes on when the engine isn't running.

 

Confirmed with the second key, it's not a fault of the immobiliser also checked, yes there is a separate light for it.

 

I know it lights up during start up normally, but in this particular model the oil pressure light never lit up with the ignition on before, or after stalling and definitely not with an obnoxious sound like demonstrated.

Based on the video, it looks like the engine stalls well before the oil-pressure light comes on........ If it was an engine shut-down commanded due to the low oil-pressure, I would've expected the low oil pressure to illuminate sooner. 

 

I would start by scanning fault codes with VCDS (or similar). Then you can also check if the immobiliser system is detecting the key. 

 

I know you tried your spare key, but it could also be that the reader on the car has failed, rather than the key.