TV limited series adaptations of The Culture novels. Amazon obviously made a start before giving up but they picked absolutely the wrong one to start with.
Yes Consider Phlebus is the first chronologically but a TV series where you have to replace the main character every episode does not work when you are already trying to adapt a very difficult IP.
Player of Games is where you want to begin. Clear storyline, no tricky time/universe/world jumps. Spends most of the time in an Earth-esque civilization. If you can successfully adapt PoG then you can try something more challenging like Phlebus or Use of Weapons.
Someone made the point previously about Disney owning Muppets now and doing live action adaptations of all the animated films when they have the opportunity to do muppet versions instead.
Although I would absolutely want more farscape.