Generally, when picking a race, I would look for traits that fit the playing style I am planning, and check the skills only as a decision helper. I you have any remarks or corrections, please share them.
Altmer
+50 Magicka
A trait that does not scale with level. A Breton mage could catch up in five levels (if the Altmer chooses to spend more points in HP or SP), but it still gives you a good head start.
Highborn: Once per day, tenfold magicka regeneration for 60 seconds
Now we are talking business. When you run out of MP in a long fight, this can save your ass. Could be covered by Alchemy as well, but this is a nice extra.
6* Magic Skills
Optimal for a full mage.
Argonian
Resist Disease 50%
I never regarded diseases as a problem, and this trait still doesn't save you from carrying cure potions.
Water Breathing
Neat when exploring underwater dungeons, otherwise useless.
Histskin: Once per day, tenfold health regeneration for 60 seconds
I'm not sure whether this will make a difference during battle, depends on how fast it is. Might be worth multiple health potions, though.
2 Magic, 4* Stealth Skills
Okay for sneaky styles, I'm not sure how usefull Alteration and Restoration will be.
Bosmer
Resist Disease 50%
See above.
Resist Poison 50%
Does this include all poisons (i.e. drain health), or just poison damage? If the former, this might be really good.
Command Animal: Once per day, force an animal to be your ally for 60 seconds
Might be handy if there are animals in dungeons, I don't think you'll need this often in the open world. Except when facing a dragon, but 60s might be a bit short for that.
1* Combat, 5 Stealth Skills
I'm suprised they don't have magic, since they are elves and all. On the other hand, my assassins in Morrowind and Oblivion both were Bosmer. The skills are exactly what I would choose for an assassin again, so it seems to make sense.
Breton
Magic Resistance 25%
Seems good to me.
Dragonskin: Absorb 50% of the magicka from hostile spells for 60 seconds (once per day)
With this, the protection against magic is quite high. Absorb is a nice gimmick, but spells that will refill a significant amount of MP will probably also kill you.
4* Magic, 2 Stealth Skills
They are not as magicy as Altmer, get it

Dunmer
Resist fire 50%
Nice feature, will give you an advantage in some battles, but nothing to build a strategy upon.
Ancestor's Wrath: Once per day, shroud self in fire for 60 seconds, causing nearby enemies to take 8 points of fire damage per second.
This doesn't seem to scale with level. I don't know if 8 points damage is making any difference at lvl 50.
4* Magic, 2 Stealth Skills
I'd have expected a combat skill as well. They seem to be less spell-swordy and more sneak-magicly this time.
Imperial
Increased gold from containers
Wait, what?
Voice of the Emperor: Once per day, calm nearby enemies for 60 seconds.
Handy when you are surrounded by too many enemies.
3 Combat, 3* Magic Skills
No speech? Skills seem like a good spellsword to me.
Khajiit
Khajiit claws do 15 points of damage
Does not scale with level, but H2H doesn't scale anyway. I know we can punch others to get information, so here Khajiits have an advantage. I don't know if H2H is feasible for real combat. Even if it is, you would need heavy armor. That doesn't fit into a playing style I would expect for a Khajiit.
Eye of Night: Improved night vision for 60 seconds.
Nice, but unless Skyrim is darker than Oblivion, mostly useless.
2 Combat, 4* Stealth Skills
Good assassin. If you're really good at killing, you won't need armor. I don't know how dragons think about this, though.
Nord
Resist Frost 50%
See Dunmer.
Battlecry: Once a day, cause target to flee for 30 seconds.
This targets only a single enemy? So flee is supposed to be better than calm (since Imperials can calm a group). Don't know what to make of that.
4* Combat, 2 Stealth Skills
With +10 in 2handed, the +5 in 1handed seems a bit wasted. I wouldn't have expected Light Armor and Speech, but overall fits a light warrior.
Orc
Berserker: Once a day, deal double damage while taking half damage for 60 seconds.
Nice.
5* Combat, 1 Magic Skill
Heavy warrior w/o Archery. I like enchanting idea.
Redguard
Resist Poison 50%
See above.
Adrenaline Rush: Once per day, tenfold stamina regeneration for 60 seconds.
In Oblivion, with zero stamina you would only do 50% damage. This trait is usefull if you do a lot of special moves.
4* Combat. 2 Magic Skills
Redguards with magic? WTF? Interesting concept, though: Alteration instead of armor.