Idaho, interestingly enough. Polls are showing that Little has a very commanding lead over McGeachin. Another state where the gubernatorial primaries appear to be noncompetitive is Colorado. I'm not even sure if someone has filed to run against Polis, although I'm sure he will face some token opposition. He's in no danger whatsoever and will easily win both the primary and the general elections. As for the Republican gubernatorial primary, Heidi Ganahl seems to have established herself as the definite frontrunner and will probably be the nominee at this point.
This is the exact opposite of what “non-competitive” means. There is legitimate competition. Whether or not that competition stands a chance of winning is a different matter.
I didn't interpret the opening poster's question that way. I interpreted it as meaning any contests where one candidate is overwhelmingly favored or faces token opposition.