While it's true races stats were different. It was a system where most of those differences could either be enhanced upon or compensated for with gear choices or even consumable choices such as food.
An elvaan samurai would typically just chomp on sole or crap sushi to boost there accuracy where a hume / mithra samurai would chomp mithkabobs for more strength
Even HP/MP, A Tarutaru Paladin would have a chunk less HP than a Galka Paladin definitely. but a tarutaru paladin had a lot more sustainability with self heals thanks to that extra MP.
A galka Red Mage often was able to compensate for lower MP than a Taru Taru Redmage through having a higher HP pool to "convert" into mp without leaving themselves exposed.
Galka also had the second highest Mind Stats making them decent choices for healers and debuffers. more mnd meant stronger "paralysis" or more potent "slow" and higher hp regens and cures.
You could play effectively with any race/job combo. (at least in the 75 era where i played 2001-2010 i think.)
I do kinda think it'd be cool in 14 as well. but 14 has gone the path of homogenize EVERYTHING!!!! so yeah..