my eyes are also very sunlight sensitive...like you, i can see well at night and squint a lot during the day...
i have photogrey eyeglasses and they are not dark enough...a ballcap helps add some "shade" to my eyes, but i still need more...i often wear contacts and have many pairs of oakley's. they are the only glasses dark enough. like mentioned, the black iridium lenses, but the fire iridium lenses seem to work better for me...ice iridium is good too, but not quite as good as the fire iridium....but seriously, this is the only thing that has help short of going with a welding helmet...
for oakleys, i have the m frames for extra active outside activities, half jackets for general everyday kind of things, and square wires for dress up. i also have an old pair of razor blades and zeros. the half jackets are nice because you can buy "replacement" lenses in different shades for different amounts of brightness. oakley also offers polarized lenses that help with glare/reflection
of course none of this helps unless you get contacts...which may not be a possibility...