This indeed is the most interesting thread...! Hopefully we get a lot posts!
To my knowledge (which is purely acquired through numerous websites and forum discussions, I was a toddler when the series was created) is that the TRB line was created to be a modern six string bass, the first one was the TRB6P with piezos. I guess that was made in Japan. At the time there were also 4 and 5 string models too. all with piezos. I have seen pictures of Taiwanese TRB6P's too, so at least at some point they were made in Taiwan.
Then John Patitucci had his signature series made, the TRBJP, and the TRB6, TRB5 and TRB4 were derived from that. They didn't have piezos. The piezo series was discontinued. I have the TRBJP and it is an amazingly well made bass, made in Japan. It has ultimate comfort to play for a six string, 19mm spacing and 34" scale. The TRB4/5/6 series was discontinued in 1998 and replaced with II-series (TRB6II etc). Those were made in Japan too. I have personally had a TRB6II, and the build quality was top notch, it was impeccably made, like the TRBJP. The scale had grown to 35" and string spacing reduced to 18mm from 19mm. Also the pickups were larger, humbuckers or singles with dummies, I am not sure, mine had EMG's.
At some point, I think when the II-series was introduced, the piezo II -series was introduced too. They are still in production, made in Japan and they seem to get a lot of love in the net. I've never played one personally.
Then, for some reason, the II-series was discontinued in 2003 or 2004 and replaced with the TRB100x line. It was originally made in Korea, but nowadays, I am not sure. Korea or Indonesia maybe? String spacing is 17mm, and the parts and the construction are in my opinion a bit lesser quality than the previous TRBII-series, let alone the original TRB series.
The Patitucci model was discontinued in 2002 (?) and in 2003 the TRBJP2 was introduced. It is the only six string TRB with 19mm spacing today, but it has 35" scale too. Made in Japan, as the high end TRB5/6PII -series too. I've never played one but it is regarded as a very high quality bass in the internet.
The older TRB's, the Japanese made ones, are very solid, high quality basses with great construction. Too bad the only ones made in Japan today are the 3000€ + models. The 17mm, 35" scale TRB100x don't make me very excited, they just seem to lack the quality and sound the older ones had. They are good basses, that is for sure, but not something that is celebrated 20 years after their introduction as are the older TRB's.
I've tried to put the historical facts as correct as I can, but if there are some mistakes, I apologize. Comments about sound and comfort and quality are, naturally, subjective and my personal opinions