Denver? Is Colorado Golf Club better than Cherry Hills?
IMO, yes it is and Castle Pines is better than either one. All three are very good.
But Cherry Hills isn't necessarily the oldest golf course in Denver, as it dates from 1922. Overland golf course refers to itself as the "oldest course west of the Mississippi" (although from other threads on this site I think that claim may not be entirely accurate), and opened in 1895. Denver Country Club moved to its current site in 1905, although the course has undergone a lot of changes since. Lakewood Country Club dates to 1908, and City Park opened in 1920.
And if you broaden out and include, say, all courses built in Denver in the 1920's, you'd also be including Willis Case (1928), Wellshire (1926), Evergreen Golf Course (1927), and there are likely others. So if you then include Cherry Hills with all of the above, does that group constitute Denver's best courses? I've played all of the public entries mentioned above, and while I have love for them all (I did grow up on them), I don't know that they stand up against the new publics around, much less the new private clubs.
Of the private courses listed above, I have only had the opportunity to play DCC, and I dearly loved the experience. THAT course is great, if not as well known as CHCC, and in my mind stands up to any of the newer courses I've played. Once up to that level, I'm loathe to say one is better than another, my friends.