I think the house looks very nice - it's just that the current owners are clearly not very interested in gardening and need an awful lot of driveway!
I'd work out how much parking you actually want, and then ideally have the rest of the tarmac taken up. Then dig over and add new top soil, turf some of it, with generous flower borders round the edges, and plenty of climbers up against the walls and house walls.
If you can include a pergola in the area which is currently overflow parking, you'll get a bit of height and a focal point.
You could go for a lot of pots on the driveway, but then you've got the problem of all the watering.
There's a really useful garden design book called tThe Small Garden by John Brookes, with lots of ready made garden designs for modern houses. You could get that and copy his design for a weirdly shaped garden!