I tend to play main character in a way how I would react but she has her own storyline in my mind that isn't me specifically, if that makes sense. Sort of like a parallel-universe me with some variation due to differences in worlds and culture - nothing specific comes to mind right now, but I'm sick and on drugs so my brain is fuzzy.
I'm not perfect and am very aware of some of my flaws, but I do not make it a point to worry about emulating them in game. Characters tend to end up having their own flaws after I've played them awhile through interactions with the world and how they form. When a game is presented so Black vs. White I don't stress about it and just generally do good unless a specific choice calls to me. Alts tend to explore other personality types: I have an gladium Charr warrior who tends to be very antagonistic and aggressive for instance - pretty much the opposite of how I am.
On the other hand, how she looks is totally independent of me. She's a max-height grey Charr of medium frame, crazy max-length horns and long hair with baubles in it. I'm 5'3"ish and petite. She's just about about as opposite as me as you could get (y'know, other than the fact she's a giant catperson) because that is what I found pleasing and fun. I love bestial or visually unique races. I've never tried to make a copy of myself in a game even in the games were you play as a human/ humanish race (Mass Effect series, Dragon Age series, so on) I always end up making a semi-unique character. They each usually have a different build, complexion, and facial structure as well as name. I'm not sure why, it might be because I draw a lot and like making unique creations and it carries over into games.
I should add she's an Engineer - in real-life I'm a crafter/ tinkerer/ maker by trade so it fits. I tend to enjoy ranged medium-armor classes the most in all of the games I've played so an Engineer and a Ranger were basically no-brainers, but I still need to try thief.
I'm glad that you've found a way to make your characters work. In game that have offered different species, I usually try once to make my main not human, but I can usually never get into the character if I'm trying to use them as my avatar. I think the farthest I've gotten away from humans were the Asmodians in Aion, which isn't too far. However, once I have my main, I really do like to incorporate the other races as much as possible. I really like going for a band of misfits feel with my characters.
Spoilers in regard to how you may feel after completing the second human racial story lines.