Easy, just about any Western without John Wayne is better than one that does include the Duke.
Sacrilege, I know, but I cannot stand John Wayne. He played the same character every movie. They are all very dated and even the ones that came after Leone's revolutionary Dollar's Trilogy reek of yesteryear "golly gee shucks" portrayal of the Old West.
I watched The Searchers because it is on every list of Best Westerns. It is one of the most stilted pieces of garbage I've ever seen. I guess if those were the types of movies one was raised on I can understand having nostalgia for them. But in modern times they are so horribly dated from dialogue, costumes, cinematography techniques (except some of the landscape shots) sound effects, action scenes, etc that they pale in comparison to more modern cinema.