Welcome to Prime and to NSX ownership.
Is your car stock? Stock overflow tank or aftermarket? Any add-on on equipment, super-charger, etc??
Item 1 - make sure there is no air in your cooling system & the coolant level is correct in the tank. Open one bleeder at a time, following the sequence in the manual. There is a soft copy of the manual available on line, so let us know if you have it.
When was the timing belt last changed? That's a fairly expensive job ($1500 - $2000 US at most dealers) and usually the water pump is changed at the same time.
Its rare, but possible that there's an oil leak getting some oil on the timing belt. That could cause the water pump to slip a bit. If that's the case, because the timing belt has teeth to drive the cams, timing won't slip. But, it would mean the problem needs to be fixed quickly before the belt deteriorates, fails, and causes major engine damage. Look for any oil dripping from the bottom of the timing belt cover (near the crankshaft pulley).
The usual thermostat failure due to the Honda design is to stick open. In any case, thermostats are easy to change and cost very little, so I'd do that as the next step.
As for parts, I'm not sure where you would get them in Norway. If you order from the US, there are some reliable sources such as Ray Laks Acura, etc.
Thanks all for tips!!! Great stuff! Car is stock but I hope for not too long...I am going to give the car a proper service before I use it hard again. Just for the record, it has not boiled just got hot and turned off immediately. I know boiling is no good but as is this has not ruined any engine. Also the cooling fans work. I know the diffenense between aircon and cooling fans!-)
But as I am not totally novice when it comes to cars (after owning 100 Alfa Romeos, you get better if you want or not), I have a couple of questions for you.
1. I need a manual on line please help!-) I am thinking of air in the system as you said. I think this all came about after changing cam belt and now it all makes sense. If there are any links to the bleeding prosses I would love to get it.
2. Why only Honda coolant? I mean any quality coolant from Castrol/AGIP/mobil would do the trix... if not why?
3. Oil leak on timing belt? The engine is absolutely dry, no leaks anywhere. Only a damp patch around the filler.
4. Could a loose plus cable give false reading in instruments, I found out that the plus cable was loose today.
5. I do use my cars hard (trackdays Autobahn), so tips about sensible upgrades are appreciated
for instance: a little more power, just get rid of the tailoff between 1 and 2 gear.
Then my discs are worn. What is the right upgrade discs/pads for street and trackdays? I do not need ceramic brakes.
Does a sports clutch also give a lot of added driving pleasure?
Also I am thinking of building a exhaust with flowmaster parts (as for now it sounds like a sewing machine !-) I think some of the sports exhaust are simply too loud.
Hope the newbee does not bother you with questions being answered again and again!
Greetings from Norway!