in long run, luck will balance out thru law of large numbers. if you believe that, then any game with decisions is a skill game. Gin Rummy, Bridge, Poker with gambling. Maybe Poker without betting is not a skill game if one memorizes or uses a computer to optimize each draw - you really arent deciding anything- as long as you dont know how many cards your oponent is drawing, ie you decide simulatneously.
any other games where luck not involved apart from chess??

Anything where you haev complete control over what happens on your turn(and likewise for all other players will be non luck based.
I understand what you are saying, but, If you make a blunder that causes you to be put in a position of inevitable defeat (presuming your opponent makes the correct subsequent move or move sequence), and your opponent fails to do so, and you win the game despite your fatal blunder, isn't that luck?

Anything where you haev complete control over what happens on your turn(and likewise for all other players will be non luck based.
Not necessarily true -- if the other guy can obscure information from you (such as is the case for many cardgame variants) then you're working with incomplete information and luck can creep in.
It needs to be a perfect information game in order to eliminate any and all luck. Chess fits the bill, along with many of the other games mentioned.

I was corrected. In any game of perfect information being universal and no random factor the game is pure skill.

In a game of tic-tac-toe where both players understand the strategy, there is no luck involved. They both can play perfectly, and predict the outcome in advance.
At the other extreme, in a game of chess, where both players know the rules but no tactics nor strategy, luck is probably the most important factor in determining who wins. The person making the last mistake will lose, and that is hard to predict in advance.
In a game between a strong player and a weak player, the result is fairly predictable. The strong player will usually win, and this can be attributed to his skill.
In games betwen evenly matched players, at fast time controls or where both players go in for the attack with little concern for their king safety, luck probably plays a far greater role. Both players are relying on their skills of course, but who will make the last mistake, and lose is harder to predict in advance. Neither of them can calculate out the outcome all the way to the end, so they are making guesses which may or may not turn out to be correct.
Games are often divided into two categories: games of chance and games of skill. In games of chance, there is some randomizing element, eg. dice or a deck of playing cards. In games of skill, both players usually have perfect information. They can both see what the other players has, and can use this information to plan their moves.
I agree with TheGrobe that games of skill have elements of luck. Bondocel is also close to the truth when he says that some games of chance such as poker or backgammon have elements of skill.

To clarify what I said, some games that have an element of luck can have that luck made largely insignificant through the application of skill.
Some games of skill have no element of luck (perfect information games such as tic-tac-toe). Chess is also one such game.

Strange as it might look to you at first, poker and backgammon are not games of luck. If more games are played, the better player will prevail.
This is correct!
Of course luck is involved in chess, much more so than in poker, where the better player (with adequate funding) will ALWAYS beat inferior players in the long run since the odds (ie dealt hands, drawn cards) will eventually even out, but not the skills in bluffing and card counting.
The good chessplayer is always lucky - CAPABLANCA

This may sound odd but Risk if you play the right strategy has very little to do with luck. If you can grab and hold certain continents in Risk you are highly likely to win. My cousin could consistantly beat me at Risk while I consistantly beat him at chess.
Anything where you haev complete control over what happens on your turn(and likewise for all other players will be non luck based.
I understand what you are saying, but, If you make a blunder that causes you to be put in a position of inevitable defeat (presuming your opponent makes the correct subsequent move or move sequence), and your opponent fails to do so, and you win the game despite your fatal blunder, isn't that luck?
No it isn't luck. We might call it in daily speech luck, sometimes out of being polite, but it isn't luck. Luck are the factors which neither players have control about, so unless your opponent sufferd from a stroke and was therefor unable to win it isn't luck.
This may sound odd but Risk if you play the right strategy has very little to do with luck. If you can grab and hold certain continents in Risk you are highly likely to win. My cousin could consistantly beat me at Risk while I consistantly beat him at chess.
I think the opponent was asking for pure skill games. ANY game there is aside from flipping coins has what you just describe. One game has more luck then others. For instance it is perfectly possible to win risk with just being lucky. While it would be nearly impossible (with a chance close enough to 0 that you can round it down to 0) to win with luck with chess by making random moves.
No luck in the game of Knuckles.