I wouldnt try to grow something taller than that house, it would look awful from your garden. Something to soften it, with the brickwork as a backdrop would be good though.
I'd move the patio to the end of the garden, in the suniest corner, so when youre sitting out you can look toward your house instead. Perhaps you want a meandering path from your back door to the patio?
A tree or big shrub midway down on the side opposite the patio. Something to catch your eye when the patio area isnt its best - so autumn /winter /spring, underplanted with spring bulbs with a bird feeder hung from it for the winter.
Also, try and aim for colours that go with the brickwork. Itll make it more like a backdrop than a "look at MEEEE! Im a totally massive out of place wall!!!". Miscanthus (which is a big grass with beigy buff coloured plumes from late summer that last all winter) would work - its not IMO a vastly beautiful plant BUT it would be good colour-wise with the wall, and is very low maintenance.
My thinking is to avoid having a rectangle of grass surrounded by a boring fence, because when that happens your eyes just rush through it and see The Wall. One way is to think of a very roughly figure 8 shaped lawn, with the gaps filled in with plants, patio, garden shed, trampoline, whatever it is you need.