I'd unironically like to see Predator in feudal Japan, 5th century Mongolia, WWII Europe, 1715 Guinea, 1980s Siberia, or even a futuristic tech city. Maybe throw in a new weapon or two each time, but keep the basic formula the same and introduce very little additional info about the Predator's culture in order to maintain the mystery. There should be enough new tidbits to wonder and speculate, but no more. That's really all anyone needs to do with this property, it could even work as an anthology series.
And for goodness' sake, let's get fresh armor and skin designs each time. How many movie Predators have we seen based on the 1987 look? Again, Predator 2 did it best; the basic layout is the same, the style and color scheme are simply different.