To answer the question listed as the title of this article: YES YES YES. There are already tons of games that have very sexy males. I am of course referring to those weird Japanese porn Yaoi (or Ecchi, or Yuri, whatever) games.
"Enslaved" totally would also fit the bill if you look at it hard enough. I never played it, but it seems like it is a game where you are a super buff guy with no shirt. A timid, young, frail female has him enslaved and he has to obey every word or she will kill him. The main character (former prisoner = bad boy) is also nameless and only called Monkey (that or she names him). It looks like he fights the whole game with his big wooden stick which he can cause to either grow bigger or shoot out energy beams. It also looks like there are lots of times when Mr. Muscles has to take the female in his arms and carry her around and stuff.
The next closest thing would be Dante from DMC 3, and the Street Fighter series, where breast physics only apply to Rufus and half the men wear just underwear and maybe boots.
There was this creepy Wii game where super buff and underwear-ed guys run in a race or something and all you do is thrust the Wii-mote up and down really fast to run faster. NOTHING SUSPICIOUS THERE.
Would "Shadows of The Damned" count? I didn't play it but apparently it is all dick jokes and his gun powered by his dick or named after his dick or something. Interestingly, it was made by Suda 51.
Was "God Hand" pandering in this way? I never played it, but I remember there were a lot of males that ran around in "strap/belt clothing" and would go really fruity things or something.
And maybe Viewtiful Joe. Joe is always going on about being Viewtiful, he wears ultra tight spandex. Basically every other character is male (not counting the robots). Captain Blue wears tight spanex, Bat Guy dresses like a prissy Frenchman, Mr. Tricerotops doesn't wear anything other than an open vest, Shark Boy wears nothing but a belt, Alister wears tight spandex, Dante from DMC is in the PS2 version, and the Lion Guy wears a small kilt.