Posted: 18/02/2017 at 11:52
I'd add trellis to the fence, assuming it belongs to both parties, and grow climbers.
A 'fast growing tree' by definition, doesn't magically stop at the height you want, and will be quite invasive in terms of root spread, and as I'm guessing it's near your house, I don't think that's a very good idea at all.
Alternatively, some evergreen shrubs which you can mainatin more easily, planted in front of the fence, but again, it depends what room you have, as most shrubs eventually have a fair bit of depth and will extend out into your plot.
Bamboo is very contentious, so it's not something I'd recommend unless you really know what you're doing. It could create a much bigger problem than the bit of wall.
A little more info about the room you have and the location of your property in relation to the neighbouring one would be helpful. It also depends what experience and how much time you have for maintenance of any planting. Otherwise, suggestions aren't always very helpful.