I'm the exact opposite of
@TwoSix... I don't care what my game mechanics are for my character, because my character is its wants, its needs, its personality, its relationships to other people... it's ENTIRELY how they are roleplayed.
The board game part of an RPG can be whatever the GM wants to use. Doesn't matter to me one bit. If they want to roleplay in and around playing Risk? Fine. Great. If the GM is good and they can merge the two together into something that's compelling and interesting, then I'll go along with it.
As far as D&D is concerned... the board game part is just numbers. Adding them and subtracting them, and then layering on top of them a thing veneer of what they "represent" to connect it to the roleplaying part of the game. But that connection is exceedingly tenuous and for me drops away almost completely once we actually start playing.
I've said this before, but It always boggles my mind when someone says they need to use feats in order to differentiate their character. Because to me... most feats just make numbers higher on what you have written down on your character sheet. And the veneer of what that "feat" represents gets lost amongst all the other things that raise up that number.
In Pathfinder I took the Dodge feat to gain a +1 to my AC. Okay. Great. Apparently my character is now dexterous enough to dodge attacks now. Okay. And thus it means my AC is now one number higher. But how is that one point different than just strapping on a small shield? Or gaining a magical AC bonus to my armor? Or raising my DEX modifier by a point? Guess what... it's not different. That Dodge feat has done NOTHING to "distinguish" my character whatsoever that I couldn't already do seven different ways to Sunday. So having that feat to make my character different has not accomplished anything. I'm not PLAYING my character any differently because I have the Dodge feat now... my character is exactly the same except a random number in the board game is one point higher.
If I want to play a dodging, rolling, tumbling, parrying character in the world of the game... I'll roleplay him that way. All my descriptions of what I'm doing, how I'm moving, my instincts and personality in social situations will be what get that personality trait across-- NOT the numbers in the board game. I could have a character with a DEX of 12 and still roleplay the character that way and nobody would bat an eye. Why? Because again... the connection between the numbers in the board game and the veneer of what the represent is tenuous at best and is not actually necessary. So worrying about it is a waste of my time.