I have a standard mk3 gti 16v is it poss to customise the standard air box the car came with for more BHP??
You can modify it, sure.
But how you do it, depends on whether you want it to sound better, or add more power.
Drill holes in it and let the hot air in from the engine bay...and you are more likely to loose power, than make any.
This is common sense and has been proven many times. To some, it sounds good though.
If you want better performance, you need to increase the internal volume so the engine has more air available when you snap the throttle open, make sure the internal air stays coolr, and feed the inlet with as much cold air as you can. Adding a K&N panel filter adds a small bit too.
Take the silly snorkel thing out for a start:


..and smooth off the edge where the air flows from the airbox to the inlet hose, using a Dremmel.


Remove all the hot air feed gubbins (hot air feed from the exhaust manifold). You don't need it. You don't live in the Arctic.
Remove it all, remove the nylon lines that go to the TB, and plug them up at the TB.
With the gubbins revoved you need to blank off the hols that would otherwise let hot air in...tape it up, plug it with something...do what you want. Just seal it.
Then work out how to get more cold air in:
Remove and bin the wing fed small inlet duct thingy.

I ended up with a 3" subwoofer port araldited into my airbox, which site hard up against the back of my Hellas...so lets far more cod air in than the standard wing inlet ever did.
This way, you end up with cold air from the front, and more of it...smoothed to give better flow (not hot air from the engine bay) and if you add a K&N panel filter you will see about 3-4 BHP repeatable on the Dyno.
That's proper power gains (not much...but nothing ever does despite the ludicrous power claims) up at the top of the revs due to better breathing, better throttle response and a bit more noise.
That's how i've best found modifying the airbox to work...after 8 years of trying many different inlets, cone filters, CAIs etc...this one still works the best.
Or you can drill it and let hot air in.