I think my parents are financially secure up to a point (provided the banks don't all colapse tomorrow or their house burns down, or something!)
They own their house outright, they own their cars outright, my dad is lucky enough to have 2 good pensions (both from public sector jobs). My mum does work, but they are not reliant on that income. It mostly pays for them to go on multiple holidays each year, and helps improve their standard of living.
They have savings and investments (some are risky, some are not so risky) with a decent amount of capital. They have no debt at all.
I do think it is more difficult for younger people to have that level of financial security. I will never have access to the kinds of pensions my parents had access to. My dad was given a grant to go to university, I've had to get into debt (although luckily avoided 9k fees). His career has always been secure, and given him enough income to support a family if needed. They were able to take out a morgage young that didn't require a massive deposit or a punative rate of interest. They've been able to avoid any other form of debt.
I spent time working before going to university, and so I've been able to build up around 5k savings. That makes me feel a lot more financially secure than other students I know, because I can cover most major emergancies, afford to run a car, and so on. Most students I know are reliant on their parents (who may not be financially secure themselves), part time jobs that definately aren't secure, or debt. However, I know that in the real world, that having a small buffer doesn't equal financial security, and a decent period of unemployment could wipe it all out.