I guess I'd like a bloke taller than me, but I'm 5'3" so most men will be taller. But height is not a deal breaker for me. I'd date a bloke who is shorter than me if he was nice and didn't mind me wearing heels sometimes.
I have a stronger preference for dark hair and eyes, not bothered about skin colour. I have 1 ex, who had grey eyes and who was 5'7". He was definitely upset about his height, but tried to dress it up as me being worried that our DC would be taller than me. I'm not bothered about my height, never have been, but he just wouldn't stop going on about how I must be feeling, major projection on his part.
But that was him, not a reflection on any other bloke. He wasn't a nice person, and it wasn't his height or lack of it, that made him that way.
My parents were the same height, 5'5". They were happy together until Mum passed away 4 weeks after their 52nd wedding anniversary.
My son is 5'6", he's 16, and going by the comments on this thread I am really hoping he gets a bit of a growth spurt. Even a couple of inches more might help, judging by some of the comments here. He's a kind lad, willing to help (although can be cynical), does his share of the chores, still hugs me, his mum, and so on. Would be a real catch, but if people can't get past the height then he has no chance, does he?