There are examples of market economy without democracy (Russia, Saudi Arabia, and to a degree, China too) but i can't think of any, present-day, example of democracy without a market economy. I don't think these can exist, because on one hand, once people have a real say in how they are governed, they will want to enrich themselves and it requires market economy and the rule of law (without rule of law, you can have profit, but can't have capitalisation because ownership is volatile), and on the other hand, people will not want to have a say in how they are governed before they are more or less well-off, because more primary needs will dominate their minds - and without popular pressure, democracy can't form. And without market economy, people are destined to remain poor.