Honestly it depends what is important to you in a car. The Type S is a far nicer and more luxerious car, the R, not so much.
The S is smoother and is quicker off the line. The R is slower off the line but once that VTEC kicks in it screams. The S is quick but it hits the rev limiter sooner and the shifting is quite different, the R has more space but off the line is slow wtih far less torque. Overall speed they are pretty comparible but I think the R is faster 0 - 60.
Suspension, the R comes right from the factory tuned and stiff, the S needs some tweeking but can be just as tight.
The R is all about prestigue and class the S is common and all over town.