We have a 1994 Toyota Celica 2.0 GT (Japanese import). The engine number is 35. Would this add to the value?

No. Why should it? This is a dandy-fresh sporty car had one m'self. Isn't worth any more 'cause it was made in Japan as much as it is to own an actual German made Rabbit, instead of an American one. Does NOTHING to the value.

Many thanks for your answer. I was wondering more about the engine number rather than it being an import. Does a low engine number indicate an early production model? The reason I'm asking is that someone drove into the back of our car when it was parked outside our house. We think it will be a "write off" but the insurers are saying that they will ensure that the money offer reflects the "special type of car". We are at a loss to see what makes this car any different?

You can try to pursue this avenue as the exact replacement is priceless!...been down this avenue myself, and you'll find another car just as spiffy, just settle on the typical value of this machine, and take the money to buy what you've really wanted all along...a MINI~