Can't quite remember... it'll come to me in a bit...

But also Nord and Altmer, once each. That's about it, except to see what some of the others looked like, in-game.

I've played Xivilai, Ohmes Raht, Mazken, and Auruel

I'm thinking about trying out Daedra Seducer.

Mage types are best done with Sea Elf and Mage Birthsign, for the making of your own spells when you want(once a day, still have to pay, though), a power that lets you resist anything short of a kill zone for 60 seconds(so long as you don't have a weapon out or cast a spell), and a power that has a chance to wipe out anything it hits(Drowning has a chance for instant kill, and if it doesn't kill them, it'll at least knock them down).
I haven't tried making a fighter type, but I'm guessing that Orcs would do well in that position because of their health regen effect(which scales up when you increase some stats, just like how magicka bonuses scale up when you level up and have higher stats), and add warrior to that build so that you can direct foes attention to you instead of your horse or NPC friends.