My guess that Speechcraft was the skill on the far left is kinda accurate.
I'm thinking it's something similar to this
One Handed Weapon, Two Handed Weapon, Hand To Hand, Marksman/Archery, Light Armor, Heavy Armor, Alchemy, Alteration, Conjuration, Destruction, Illusion, Restoration, Enchanting, Smithery, Speechcraft, Sneak, Security, Block
Mysticism is definitely gone and I have a good feeling that Athletics is also gone but we'll have to wait and see.
Personally I don't think athletics will be gone, I think they'll rather get rid of the armour skills like this poster suggests:
First I'd like to say hello to everyone, this is my first post on this forum.
Now on to the topic I'd say from the latest update that the skills will be the following.
Warrior-
one hand, two hand, defense (block/shield may also effect armor usage), smithing, hand to hand and athletics
Mage-
restoration, conjuration, illusion, destruction, alteration and enchanting
Thief-
speechcraft, security, sneak, marksmen, alchemy, and acrobatics