Personally, I think much of the issues resides in the "judges round" where the submissions get cut down to five nominations per category.
Strangely enough, I can't find the ENnies judges for 2015 on the ENnies site (but have have found it with some digging off the ENnies site) but Kurt, Stacy, Jakub and Kayra have been judging for a number of years. At least five years for some (and is Stacey Muth related to Mathew Muth?)
All FOUR judges from 2016 were carried over to 2017. Reece Carter was added for 2017. I suspect we'd find a similar trend with the prior years which I can't find on the ENnies site. (I found the trend)
The first thing to do is limit judges to one year at a time - no consecutive years of judging. This really is a no brainer. Biases are natural but bringing in new blood every year will do well at balancing out those biases.
Now, choosing the judges is a popularity contest, and much like in real world politics, the incumbent is at an unfair advantage. One year terms - it really is that simple.
About the judging process? Is there a set of guidelines the judges are expected to follow? Is it public? It should be.
Product is submitted as physical product and shipped around the world at considerable cost to the publishers seeking to be considered. I suggest requiring all submissions be made in PDF. Why? Why not? The judges are volunteers reviewing product. They don't need physical products to do their review.
Switching to digital submissions would remove much of the cost involved. It would also remove the idea that judges are being monetarily compensated for their work, as the post judging Ebay sell off is certainly a thing. And hey, we'd save some trees.
I would also suggest disclosing the votes of both the judges (for the nomination process) and the voting public (for the awards) after the award ceremony. Nothing is better at showing the legitimacy of a process than full disclosure of the process.
If only one thing were to be done, just one - limit judges to one year terms.
So, what are your suggestions?
edit: so, this is a thing. no more than two consecutive years as a judge - I'd prefer one year but its a start: