Some mountain ranges have extensive trails that intersect with each other. This is most common near the peaks. Here are some trail maps of nearby trails.
You can hike or mountain bike along any of the trails and where they intersect, you can switch trails. That means you can make your loop larger or smaller depending on your energy and time constraints. You can always do a there and back as well, but it’s fun to switch it up and pass different scenery.
American Fork Canyon has many trails that interconnect. Here is a map and below is the Google map that you can explore. You may need to zoom in just a little to see the trails.
The Albion Basin is near the peak between Big and Little Cottonwood Canyons. Here are some maps of that area: