The 4g63 is still in production. In a car called the Zotye sr9.
As for the original question. I'll put all of the competitors into place.
Let's take a trip back to the 90s and early 2000s
The GTRs were the king of the hill. You can't contest a GTR with the technology and performance features that it had. I hate how the young "racer boys" of this era put the famous R34 and the MK4 supra up against each other as competition. They were never designed to compete with each other. The Supra is a fat boy luxury car. But enough of that, let's get into the competitors.
The iconic sports cars are: 3rd gen RX7, GTO, 300zx, NSX and the MK4 Supra.
There were also the Sports cars that fell into the lower line of the manufacturers lineups like the Silvias, MR2, Miata, Celicas, even in the 80s the Ae86 and well the hot hatches. Honda had their host of front wheel drive performance cars and I think they dominated this category. BTW N15 Pulsar VZR is a Honda killa lol. Of course there are your Evo's, STIs, GTI-Rs, Celica GT Four etc. Homologation rally cars.
As for the Soarer I don't think I would even consider it as a sports car. It's just a comfortable luxury coupe. Yes it came with big engines I6 and V8 but that was to haul around all the weight that the car had lol.
As for the best, for me it's always by category but I'm a Nissan boy so...
GTR is Godzilla, King of the hill, the best
GTO, It was ahead of its time with all of the performance features that it had
You can't beat a 180sx, CA18DET goodness
Best JDM hot hatch- N15 Pulsar VZR N1
In the famous STI Vs Evo discussion for me the Evo wins. Just my opinion and preference. But I believe that the best small AWD car to come out of Japan is the Pulsar GTI-R.
*Favourite Japanese performance car - I don't have 1 in specific lol but if I had to choose one right now I'd say the GTI-R. Essar tweny powa!!!*
All of the long talk was to rant about the R34 and the MK4 Supra being put up against each other