A: Yes! There are all sorts of custom blinds and shades made specifically for French doors. In fact, a lot of the same manufacturers who make shades and blinds for the rest of your home, also make those same styles for French doors. For example, Hunter Douglas, one of the leaders in window blinds, makes cellular shades for French doors that come in the same colors and light filtering properties as their other lines. This means you can get a contemporary shade for your French Door and coordinate them with other windows as well!
Cellular blinds aren't the only door shades available, however. Slim, tailored door shades and blinds also come in wood blinds, faux wood blinds, natural and bamboo shades that lay flat and filter light, and roman shades. Some of these offer options for top down/bottom up controls and others are available to cover either the entire door or just the glass.
There's a lot of options out there and you can certainly find ones that fit any modern style. What a way to bring those beautiful French doors into the 21st century!