Will media player support LED TV

I currently have two WD Live TV media players that I use to play video files on my old CRT TVs using flash drives. The image quality is really quite good. Certainly DVD quality. Will these device work equally as well on a new LED flat screen? I see they have HDMI connectors on the back. Thanks.

Well, FullHD Media (1080p 1920x1080) will look great !

Lower resolution media eg. DVD (720x480, 720x576) will look the same or maybe worse