First of all: PvE or PvP?
Second: All classes are good with stam builds as they are with mag; you'll just have to tweak skills, rotations. Granted some are easier than others, but with enough dedication and practice you can do even the hardest content with "improper" races and classes.
Best races for stam builds are: Redguard for sustain, Khajiit for bonus crit chance, Orsimer (Orc) for raw damage and tankiness. I think...
Best races for magicka: Altmer for Sorcs, Wardens and DKs since Altmer have bonus damage to elemental spells, Dunmer as DKs since Dunmer have bonus fire damage and magDKs are a lot of fire damage, then Breton for reduced cost, very good with healing, or Argonians for more health and, if going healer, stronger natural heals. Bretons and Argonians, while they have extra magicka, do not have bonuses to magical damage types, unlike Altmer and Dunmer.

Hopefully this all helps. If you don't really care that much about being the top 1%, you can take any race, any class and any playstyle and for like 80-85% of all content, it'll be fine.

Nords are pretty much the weakest race currently. All they have going for them is damage reduction, which isn't that good after calculations, cold resist, there are very few ice abilities in the game, and maximum stamina which, all in all, really is a lackluster set of racial bonuses. But again, for that 80-85% you can do whatever you want.

As evident by your name. lol