FPGAs

You can use a developement board to do what you want, its a comparatively easy task. The Cyclone II can have a NIOS processor in it, but you could do what you want in logic, and there is enough memory in the Cyclone II. Also there are a number of boards with memory attached that you can buy, search for Cyclone II dev boards. They are not too expensive. The Quartus software has quite a steep learning curve but seems to be pretty good. And its free!