Considering the sheer disparity in technology between the ED universe and the Star Wars universe, there is no contest that the Galactic Empire would win.
Their ships have more firepower given their surface area, superior weapons technology in general, better armor and hull materials (multiple instances of star destroyers crashing to a planet's surface, sustaining nearly no damage to the overall superstructure) systems that can temporarily disable other ships, and while admittedly their FTL technology is slower than the FSD equipped to smaller ships in Elite, the capital ships have to make use of the slower hypderdrive tech, which means they are substantially slower than Imperial star destroyers.