I’m a fairly avid gardener, but my window boxes (in the same position as you describe) are the bane of my gardening life! Over the years I’ve tried begonias, impatiens, pelargoniums, lobelias, gazanias, pansies, fuchsias and lots of other stuff, and they never deliver a great display. I dead head, feed regularly, water a lot, and still they never amount to much. I long for a big, full display but I’m starting to think it’s a lost cause.
I also suspect a local cat is peeling in them, which can’t be helpful. I’ve seen it a few times on my window sills 🧐.
My only neighbour who has some success in the same light, as hers planted with bulbs (daffodils), ferns, ivy and perennials. and netting on top to prevent squirrels (and cats?). All other houses have completely bare boxes, so it’s not just me 😂
This winter I planted some ferns, primulas and irises for a spring display. It’s gone ok but iris reticulata is very short lived and already long gone, and primulas don’t grow tall or wide, so again they look half empty. If I do bulbs again I would go for daffodils as they last much longer. I just don’t like daffs that much…
I’m currently mulling over what to do for this summer. I will be watching your thread for ideas. I also think I need to plant more densely, and really pack the plugs close. I’m tempted to do an experiment and plant one with begonias, one with petunias, one with impatiens and one with Calibrachoa, and see if any works. It may look odd for a year, but worth it in the long term?
All this to say, in case you try something and don’t succeed - you are not alone!