The "Type R" is a Japanese equivalent to our R1/R2 models, meaning stiffer suspension, dual oil coolers (I believe), a bit lighter due to less/better options, a front lip, etc.
The "Spirit R" is Japanese ONLY (no USA equivalent!) even FURTHER limited edition that featured different rims, even lighter overall weight, perhaps more power...yaddayaddayadda...the rest is on the website.