The RIV website has useful information; but, just be aware that the RIV 'process' is dedicated to importing vehicles from the US that were originally 'North American' market vehicles. Go here (Transport Canada website) for more general information covering non North American market vehicles. Clearly it can be done because there are lots of 'older' JDM cars showing up in Canada and your 1994 should fall under the 15 year provision.
https://www.tc.gc.ca/en/services/road/importing-vehicle.html
Be aware that there is a personal use import provision and a more general import provision. I can't remember all the details (its been 7+ years since I went through this); but, I think there are restrictions on re sale of a car imported for personal use and may be time limits - so just make sure you use the correct process so you don't screw yourself some time in the future.
Since you are new to Canada, be aware that the 'import' process is governed by the Federal Gov't (Transport Canada). Quite separate from the import process is compliance with the safety standards and the vehicle registration process which is governed by the Provincial Gov't. Most provinces require that a vehicle go through a safety compliance review / inspection of some kind prior to being permanently registered. That requirement can exist even when you move a vehicle between provinces!
At the time of the safety compliance review, one of the check boxes that may be required to be ticked off (depending on the province) is operating day time running lights - so there may be no faking that one. Retrofitting DRLs is pretty much a non issue.
As noted by others, you can get agreed upon value insurance. Where I live, that generally requires that the car be appraised by a qualified appraiser and the insurance company may be restrictive on who they will accept as an appraiser. Since a genuine NSX-R is a rare bird, you may want to have documentation on hand to demonstrate 'provenance' and that this is not a regular NSX tarted up as an R. Be aware that most insurance companies restrict use of a vehicle with agreed upon value insurance. The restrictions that I have on another vintage car are 5000 km per year and not a primary use vehicle, so not incredibly restrictive. Depending on the province that the vehicle is registered in, you can apply for something like classic car registration. The registration cost may be less; but, that designation can come with some really heavy restrictions (can only be driven to shows or in events) so make sure that you don't get caught with that.
Since the vehicle is being shipped I expect that it will be appraised to cover for losses in a shipping accident. You might want to contact insurance providers operating in the Ontario insurance market to see if they might accept the valuation provided by a particular British appraiser. Do check for gaps in coverage. Insurance for shipping may end at the point it rolls out of the shipping container and you still need to deal with getting it from the docks to its safety inspection before it can be permanently registered or while it is parked in the lot prior to registration. You can generally get temporary driving permits; but, they generally don't come with any coverage.
Since I have not participated in the process for a while, I may be out of date. However, there are lots of little steps to make this happen. Taking up Gecko's offer of getting in contact with a broker to determine what they can do for you may be useful.