The bamboo privacy screens seem to be a popular choice in city areas. Probably because they're easily removeable for renters.

I would suggest visiting your local nursery and asking for recommendations for screening plants that would grow in large pots / planters on your balcony.

Browse more metal screens here

Some of those bamboo screens seem quite flimsy and see-through from a distance and make me wonder if the people who put them up ever went for a walk around the other side to check the result. I suppose it depends on if their intention was to screen themselves for privacy or merely to create a boundary and a sense of enclosure for the space the way people do with rugs in a room?

I'm not sure of the intention in the question? Not to be seen by the grumpy neighbour, not to see the grumpy neighbour, not to hear the grumpy noisy neighbour? I think visually there are a few choices depending on taste and budget. Blocking the noise could be more difficult.

As the neighbour is noisy you may need something a bit more solid. I would go for solid timber slats laid vertically up that side of the verandah with just a small gap in between each. If they are really noisy, I'd go for sleepers, but I don't know if the verandah would support that? Otherwise a lighter timber frame and you can always put some hooks and have hanging baskets or a wall garden to make that wall a bit more interesting.

Of course, you could build a bar on the verandah and invite your friends around to be as noisy as your neighbours!!

I like the idea of metal screening as has already been suggested. Louvres are great too, although more expensive they are a lot more versatile.

louvres are expensive ..our remote controlled one for our roof costed us 16-18K as had to go through council for permits..it also depends on how big the space is to be installed..this was done a few years back so prices might have gone up..considering our sliding sunroof was 26K we got a bargain with that..as louvres are not water tight..

if you don't need remote control or permits it will be cheaper ..you can get them from Bunnings and install them yourself..though the width is not as wide..can't remember how much and they are white..

Anything with gaps will not cut noise. Solid masonry will.

Then any privacy screen you find attractive will do.

Lol!