There, I said it. That's my story and I'm stickin' to it!
I lived in Alaska for two years in the past. Kodiak and Juneau. This Summer we drove our Forester MBS all over Alaska. Got on Trip Adviser and took every road suggested under the thread "Most Beautiful Roads in Alaska". The trip totaled just over 10,000 miles and 11 weeks. Came back home to Oregon via the Canadian Rockies including the Icefields Parkway which lies between Banff and Jasper. We had also done this area last year. After a direct comparison on during the same trip, The Canadian Rockies are more beautiful.
Of course Alaska is beautiful, but it's a different kind of beauty. It is often massively expansive. The view goes on forever and the mountains nearly reach the sky. Makes my west coast volcanic peaks like Mt Shasta and Mt Rainier look small by comparison and they are over 14,000 feet!
But the Canadian Rockies are a completely different kind of beauty. They too are towering (above 13,000 feet) the road runs right along and right through them. They are truly IN YOUR FACE most of the time. It is a very concentrated beauty, you can't get away from it. And the geology is unusually reversed with older mountains being pushed above the younger ones (or something like that...) so the unique, crazy twisting rock formations of the cliffs are just incredible.
Heading north from Banff, the route just keeps getting more and more stunning. Every time you say "It can't possibly get any more beautiful than this" it does! The farther north you go, the more fantastic it gets, until the route ends at Jasper.
BTW, a worthwhile side trip is Drumheller, Alberta, east of Calgary. One of the best dinosaur areas on earth, and tremendous history of coal mining.
I have been to 39 countries and lived in five while serving my country. Beautiful places like New Zealand, Switzerland, the Italian Alps, etc. I am a loyal American veteran and served in Iraq and Afghanistan and love my country. But if it's scenic beauty you're after, The Canadian Rockies is the place to go! It beats them all.