You say that you are good in electronics theory, here's your chance to apply it in practice. Before you do, keep in mind that mains voltages are LETHAL, in other words, you can get killed by poking about carelessly inside your VCR's power supply.
Now, consider how the lightning strike's surge spike got into your VCR? Through the power cord most likely. So, first thing to check is if there is power at the wall socket. Next, does the power get into your VCR? - check at the switch. Is there a blown fuse inside the power supply? - check it.
If you have mains power going into the unit, check if low voltage DC power comes out of the power supply. If so, you might as well take the unit to a professional for repair (if its worth it) as you will be able do do nothing more without the circuit diagram and the knowledge to interpret it.
If your VCR's power supply has gone and it is an old style with a transformer you might be able to fix it. If its a new switch mode power supply you'll need the circuit diagram and special knowledge, they can be tricky to fix.
BUT, before you poke around with your meter probes, UNPLUG the unit, remove the covers and use your eyes and nose to investigate. Do you detect a faint smell of burned components? (this would not work for smokers - they lost that sense). Can you see charred components? sometimes you have to look very very close with a magnifying glass to see cracks or little craters on these. Do you see vaporised PC tracks? Only if all looks pristine and working like do start measuring things.
Good luck
Klaus