There are very, very few games in which I would play through the game as a male character. Very few. Off the top of my head I can think of only six : Uncharted 4 and The Last Of Us, because Naughty Dog put so much heart and soul into their characters that you know from the outset that you're a spectator, playing someone else. There's really no vestige of yourself that you can inject into Nathan Drake or Joel, because they're so beautifully written and well rounded.
Then there are Cloud, Squall and Tidus from Final Fantasy VII, VIII and X respectively. This is more of a grey area, and I only would play them because of the strong female characters in those games I could more readily identify with. Most notably Aerith/Aeris Gainsborough, Rinoa Heartily and Lulu. One of the reasons I am so disappointed with Final Fantasy XV and have not bought it is because of the Bromance they have going on in that game. It doesn't appeal to me, at all.
And finally Isaac Clarke, from the original Dead Space game. Because... well, because that game is just so amazing it's more about the game than the character.
Pretty much every other game I tend to pass over unless there is some sort of character creator where I can spend an unhealthy amount of time creating an avatar more closely resembling myself. Partly out of a need for self expression, but also because in a lot of games with a male protagonist, I do not like the stereotypical way they see the world and interact with other characters within it. Games where you can create your own character tend to be a lot more careful in the way your character reacts to the world. Because the developers have to be a lot more neutral since they do not have the time to code different male and female responses. This is not perfect, but it's better than walking around sounding like you just had a steroid shake and a session at the nearest lap dancing club.