Rear Admiral T'Girl,
If you are referring to the aired episodes of "The Original Series", then you are correct. Without going into a debate about "which Captain is better", I believe that Jame T., even though TOS was relatively short lived, remains the most remembered captain of the Enterprise (imho).
One thing that I always found amusing about Kirk, in more than just a few episodes, he somehow managed to tear his uniform. You would think that the material used in the future would be impervious to tearing.
Regards
J