Since I am in the market for a new parts washer and looking at all the variations right now, I can put in my 2cents.
My current parts washer I purchased back in the early 80s, had Safety-Kleen in it and thought it worked great. Because of cost, I went to mineral spirits when that went bad, I thought it worked about the same but really damaged my skin, that was the days before you wore gloves. A few years ago I tried Simple Green since it was highly recommended, that was a waste of time compared to Safety-Kleen which I went back to. Being in Calif. I can't get Safety-Kleen anymore without a EPA registration so I have been talking with people a lot for the last 6 months about variations.
I am told the Aqueous washers with heated tanks work really well but I have not tried one yet although I am thinking of getting one. I have talked to a friend about ultra-sonic cleaners, those are pricey but if they work as well as I am told and save me time its ok.
As I get older my concerns have changed from when I was younger, I now look for safety such as flash point (a big plus for water based) and also health safety, I did not care much in my younger days about health safety. But my primary concern is how well it cleans, I don't want to spend hours in front of the washer doing something that gasoline could do in half the time (bad example, but you get the idea). A few years ago I was told that solvent cleaners would soon be illegal in my county, that never came to pass but its also a concern that whatever I get I can use forever. My parts cleaner can get heavy used Fri-Sat-Sun and sit unused the 4 days I am at work, but on weekends its pretty common for friends to show up and work on their old British cars.
I have not heard much about bioremediation and not looked into that one yet as a possible choice so can't comment.