My characters tend to be different, but they all have *something* of me:
Eorlin Amell is not unlike Solas - a Fade explorer with a mind for politics and manipulation and a passion for knowledge, more idealistic than cynical, who tends to keep apart from the big conflicts, only occasionally putting his weight in through things like the mage manifesto.
Rowan Hawke is an angry mage revolutionary who embraced the dubious romance of revolution together with Anders and hid how much she cared under a mask of sarcasm.
Maelyn Trevelyan is an odd combination of the power-hungry, the idealistic and the occasionally ruthless, a woman who had a not too unpleasant life in the Circle but who's determined to not be bound again. She wants to rule and is willing to break eggs to get there, but she also wants to do well by those she's responsible for, and she genuinely wants to improve things for people. She thinks it shouldn't be too hard to make her "New Empire" a better place to live than most others, given the existing examples. Unsurprisingly, she's also very much opposed to Andrastianism for its stance on magic and an outspoken unbeliever where that doesn't get in the way of her goals.
Oddly enough, as different as these are, they all feel somewhat like "me" as I play them, since none of them have traits completely alien to me. I don't think I could play someone completely alien to me for a complete game as long as DAI, such as a hardcore believer or a callous jerk. At some point I'd realize that "I don't want to do this anymore".