Tantalums are not unreliable if properly used. However: their ESR (series resistance) is so low that they have large inrush surge currents if the current is not limited by some means. That can cause them to fail. We used solid tantalums in many military products because their ESR remains low over the full temp range while aluminum electrolytics have ESR go straight up at temps below about 10C. You have to know what you're doing to design with solid Tantalums, but they are good for specific applications.
One place they are used a lot is in "support" around the CPU socket on a mother board. We also used them a lot on the output of switcher converters, but we used Tantalums designed for high frequency switching (low ESR, high resonant frequency type)