Maybe you want room darkening roman shades.There are several styles of blackout shades and blinds that you'll see now, including roller shades, roman shades, windows blinds and even motorized options that can be controlled with a remote.
I ordered these as I was looking for something cheap and easy to black out the windows to my home office as I do some photography and multimedia and prefer my settings to be as dark as possible. I put these up in the windows and even with the sun blazing directly behind them, only light passing along the edge where my cuts were slightly off is the only light coming into the office from outside.