Do I like Asian girls' eyes? Yes, but I've found some Asian girls to be very attractive, so the eyes are a part of that whole package.
Is it weird to gaze into them? No weirder than gazing into anyone else's eyes. It's definitely not something I'd go up and do to a total stranger, or anything creepy like that, but if it's someone I know, like and am comfortable with, then while we're talking, yeah, I may gaze into her eyes. But usually that only happens for a girl I've fallen for anyway, so it does kind of explain things.