Funny that you mention being 'keen to play the system to their advantage'. There have been experiments which show that the more affluent people are they more likely they are to cheat, less likely to act generously, and even less likely to stop for a pedestrian when driving.
Anyway, as other posters have said, I don't think people really tend to mean couples 50-150K earning when they talk about "the rich". I think they are more concerned by the fact that a tiny, tiny number of people control such a huge proportion of the country's unearned wealth.
I think there's growing support for taxing unearned wealth at higher rates, including inheritance tax, and for reforming Council Tax more broadly.
And as above, rich people 'take' from the state in all manner of ways. The security of the NHS (because private health insurance won't help you much if you have a serious accident and need emergency help), policing, the promotion of UK business interests abroad, heavily subsidised high arts, transport networks - the whole fabric of our lives.
And while low earning people may not be net contributors of tax, that's quite a naive way to look at our national economy. People working for low wages 'put in' their time, labour and effort, for very little personal reward. Often working for state subsidised wages, which rich employers and shareholders benefit from in turn.