Oil leaks out of no1 cylinder ex pipe - 1980 Honda CBX

Check exhaust smoke color when engine hot. If there is white smoke, there may be oil in the pipes. Means the valve seal is leaking oil into the cylinder. Another way to check is to look at the spark plug tips. If is full of soot like burnt oil then the oil is leaking into the cylinders.

If yours is E60 turbo, check the presence of residue oil in both the exhaust and intake turbine. If there is, the oil seals in the turbo housing is leaking oil. They do sell service kits for turbos.

i just average joe, but i vote broken ring...sorry pal.. i recently repaired a bike...same thing was happening...in my case, the thing just had too much oil in it , so much so that it was backing into carb...jus a thought

hard call ! compression test , but sounds like your going to get your hand dirty ! P...

check all pipes from your pump to your injectors are tight start at no1 cylinder slacken pipe on injector end while a friend cranks engine on key repeat on oyher cylinders this should bleed all air from system

Put #3 cylinder in firing position then put air pressure in that cylinder and remove the oil cap. If air comes out throttle body the intake valve is leaking. If air comes out the tail pipe the exhaust valve is leaking. If air comes out where the oil cap came off the piston is leaking.

Open up the bonnet and look for round black color device fitted near the driver side inside the engine bay. There will be pipes fitted to it and a brake oil reservoir on it. This is the brake master cylinder and round thing is brake booster. Any one of these is leaking and brake oil being very thin, is seeping inside your car. Take a look at the end of the pipes fitted to brake master cylinder, if anyone is leaking, tighten them. Still there is leak? your need to replace the master cylinder.

Valve cover gasket , this is a common problem and its not the cylinder head it is held in by 6 bolts and is common to leak in to sparkplug area and causes misfire, your spark plugs wires are considered oil soak and you might as well get those replaced,

check the inlet manifold and see if their is a vacumn take off pipe where no1 cylinder is ,could be the rubber connection pipe for the brake servo take off is perished ,had a similar thing with my VW camper van ,To be honest i have never seen one of these cars so couldnt tell you about the engine layout .

Blue Smoke: Blue smoke is caused by engine oil entering the cylinder area and being burned along with the fuel air mixture. As with the white smoke, just a small drop of oil leaking into the cylinder can produce blue smoke out the tailpipe. Blue smoke is more likely in older or higher mileage vehicles than newer cars with fewer miles.
How did the engine oil get inside the cylinder in the first place? The car has many seals, gaskets, and O-rings that are designed to keep the engine oil from entering the cylinder, and one of them has failed. If too much oil leaks into the cylinder and fouls the spark plug, it will cause a misfire (engine miss) in that cylinder, and the spark plug will have to be replaced or cleaned of the oil. Using thicker weight engine oil or an oil additive designed to reduce oil leaks might help reduce the amount of oil leaking into the cylinder. I that doesn't work then i would get with a mechanic and have it leak tested for possible piston ring replacement.