Something that's been mentioned a few times now in the news is some councils are introducing either special bins, or special bin bags for disposable nappies.
Some are just chucking these in landfill anyway but apparently there are processes for recycling disposables that reclaim 98% of the nappy (used in roof tiles and bike helmets of all things!).
However, my only concern is the way the councils in the UK are introducing dedicated bins for just about everything (I have 4 as it is!) and in some cases are keeping a watch on what you throw (with the potential to charge for throwing waste at some point, now a lot have microchips in the bins), and could fine you for not using the correct bin.
The problem with this is it may mean having a special nappy bin or bag outside the house in public view! Fine if you have kids, but otherwise a potential problem.