(Currently 24(out of ??? no one will tell me) (named on this list)
I'm pretty sure I didn't name all so if you find one that is not on this list, please add to it.

Determined- Plays better when behind or playing away.
Hot-tempered- Is more likely to get a card when his team is behind.
Correct- Player gets less yellow or red cards.
Roaming- More likely to move out of position.
Penalty Stopper- Keeper gets 1 ball blocking bonus when defending against a penalty.
Sprinter- Gets 2 speed ball bonus when attempting to move to the square where the ball is.
Hardworking- Gets 10% more experience from matches, can count 25% more matches per season.
Unpredictable- Either gets a bonus in a match or a penalty.
Penalty Specialist- Player gets 1 ball scoring-bonus for penalties, or can use blocking, dueling, or passing as scoring for penalties.
Team Player- Is more likely to pass to another player and less likely to hold the ball or shoot at the goal, gets a small passing bonus.
Tall- Player gets a dueling bonus in corner situations.
Audience Player- Player plays better at home, but worse away.
Fragile- Player is more likely to get injured.
Aggressive- Is strong in tackles, but is more likely to get cards.
Downhearted- Plays weaker when his team is behind.
Selfish- Is more likely to shoot at goal and less likely to pass, gets a small scoring bonus.
Lazy- Doesn’t move out of position, plays weaker when team is 2 goals ahead.
Resilient- Less likely to get injured. Recovers faster.
Loyal- Asks half the usual wage.
Shielding- Player gets a defensive bonus when another player tries to steal the ball from him.
Playmaker- Player gets 1 ball passing bonus, other players are more likely to pass to him. Is more likely to pass the ball when he has it.
Dribbler- Player gets 1 ball speed bonus when on the ball
Set Pieces specialist- Player gets 1 ball passing-bonus, or can use blocking, dueling or scoring when taking a corner or free-kick.
Leader- Organizes players on the field.(thank you Lied for Shielding-Leader.)

Shielding:Player gets a defensive bonus when another player tries to steal the ball from him.

Playmaker:Player gets 1 ball passing bonus, other players are more likely to pass to him. Is more likely to pass the ball when he has it.

Dribbler:Player gets 1 ball speed bonus when on the ball

Set Pieces specialist:Player gets 1 ball passing-bonus, or can use blocking, dueling or scoring when taking a corner or free-kick.

Leader: Organises players on the field

Nice list. Keep up the good work!
One tip: The list will grow, so maybe organise it a bit. Put them in alphabetical order, or group by category/trainlevel.

I haven't actually seen any of the special attributes I added, but I found them when I was translating. I assume they are either rare or you need a high lvl training complex to get them.

The developers could probably complete this list

Shielding can be trained with lv 5 training complex.
I don't know about the rest.

Dribbler and Set Pieces is level 6.

Thanks mmdd/Lied.. good to know what Specials are available in the game

I want to train Hardworking, but I think this kind of specials can't be trained either.

Hi MackiaG.. I think their all trainable.. but "Hardworking" I would imagine this would be at a high level of the training center (7-10)?

There are 2 types of skills, those that come natural and those you can train. Anything a player comes out of a youth centre with is natural and can not be trained in the training centre. If that were possible, it would increase the training time of other skills (as said in your training centre: for any player that already has a trainable skill it takes 50% extra time to get another trainable skill).

Kezza: Train to Hardworking is worth. +5 league match =2500 XP. +1 NT game +1000 XP, +1 CL game +1000 XP, +1 national Cup +300 XP, +2 friendly 300 XP
So, if the price is 5000 XP and some credits, one year and he get back the cost. And a good player plays minimum 10 years.
I hope some day I can train Hardworking. (currently only level 5 training center I have)

And you get 10% extra over all your games MacikaG! Sadly (as said in my post above) you'll never be able to train it :(

That is a shame :-)

The player with the highest number of special attributes:

http://rockingsoccer.com/en/soccer/info/player-32074

:)