Two courses come to mind when I think of this question. The first is Keller Golf Course in St. Paul. Those of you who know the course may think I'm nuts, but hear me out. I moved to Minneapolis right after college and Keller was my first sight unseen course while I was there. It was the first course that I'd experienced for the first time on my own (not counting the courses at IU) and I loved it. I'm sure some of the fondness came from it being my own little experience far away from my family and what was familiar, but the course also made an impression.
Keller used to hold the St. Paul Open, it also held two PGA Championships, a Western Open, the Patty Berg Classic, and a Pub Links. The clubhouse is filled with mementos and memorabilia from its heyday. It is a Golden Age Course and has many interesting holes and tricky greens. It has one ridiculous par 3 with an enormous oak(?) tree right in front of the green, but the tree has been there for ages and for better or worse it isn't going anywhere. To this day I'm thankful that I chose Keller as my first course to experience in the Twin Cities as I had many memorable rounds there.
The second course that comes to mind is Chambers Bay. I fell in love before I even had my soft spikes on. When you park up top and venture over to the golf shop and take in that view...it was like a punch in the gut. The entire course is laid out in front of you seemingly hundreds of feet below. The groups on the course look like ants, and I couldn't wait to get down there. I immediately pointed out to my dad this narrow hole that disappeared between dunes (turned out to be the 10th), and said that I'd never seen anything like it. The course didn't disappoint, but that initial view can't be beat, or at least nothing has come close to me before or since.