What has gained a lot of attention was the massive ENCODE project, which sought to provide a detailed atlas of biochemical function in the human genome. The headline figure from there has been that 80% of the human genome has some function. There's a lot of controversy (understatement hat on) on the basic experimentation done for ENCODE, the structure of the project, the usefulness of the data produced and how they define biological activity.
The debate possibly got a bit out of control - the most sarcastic peer reviewed article I have ever read stirred the pot a bit (for more info: http://www.scilogs.com/next_regeneration/the-encode-controve...). I think most biologists (warning, personal opinion) would still hold that 80% of the genome is not meaningfully biologically functional.