My personal recommendations would be to try and get a glacier tour - I didn’t and I still kinda regret that.
I was 100% going to recommend this, Creativity. If you're driving between Jasper and Banff, I'm presuming you'll be going via the Icefields Parkway? If so, definitely get a tour of the Athabasca Glacier. You can either do a half day or full day, the latter taking you right up and onto the icefalls whereas the former stops further down. I did the shorter one and that was amazing in itself. I would definite do the full trip if I went again, but of course it depends on your budget.
Also, in regards to Lake Louise, there's a small path you can take off from the main tourist hub which will lead you to a more secluded area; we found a spot with no-one in sight. And on the subjects of lakes, there's a trail that starts at the busy Moraine Lake that goes to the Consolation Lakes. Another beautiful and secluded spot. It's not that long a walk, but it is a restricted route due to bear activity. So you have to be in a group of at least four and bear spray is recommended.
Another hike you might look into is to Ink Pots. It's about a 11km round trip. It starts at the Johnston Canyon waterfalls trail which is really busy but once you get onto the path to the Ink Pots there's hardly anyone. The hike itself is nothing special, but the destination is well worth it in my opinion.