After extensive research, several horse-friendly trails have been identified within the Uinta-Wasatch-Cache National Forest. Here's a rundown of trails that specifically allow horses as per official data from the US Department of Agriculture and the Forest Service websites. 

1. **Cecret Lake Trail** - Nestled in the Albion Basin, Cecret Lake Trail offers horse riders with a serene riding experience. The trail leads to a beautiful, crystal-clear lake surrounded by an abundance of wildflowers during the summer season.

2. **Little Cottonwood Creek Trail** - The Little Cottonwood Creek Trail is one of the longer routes in the Uinta-Wasatch-Cache National Forest suitable for an adventurous day out with horses. It provides a mixed bag of terrain and scenery.

3. **Silver Lake Interpretive Trail** - This trail is located near Brighton and offers excellent lake views. It is a self-guided nature trail with ample signs, and pamphlets are available at the trailhead.

4. **Mill D North Fork Trail** - Beginning from the trailhead near Spruces Campground in Big Cottonwood Canyon, this is a lovely, meandering trail through thick forests opening up to views of picturesque peaks. 

5. **Desolation Trail** - The Desolation trail is famous for its wildflower-covered meadows. Horse riders here are treated to stunning views of the Salt Lake valley.

6. **Lake Blanche Trail** - Popular among horse riders for its beauty, difficult terrain, and remote feel, the Lake Blanche Trail winds its way through stunning wilderness to a scenic lake. It also rewards riders with views of Sundial Peak.

7. **Snake Creek Trail** - The Snake Creek trail is a less explored but equally beautiful part of Uinta-Wasatch-Cache National Forest. It traverses through thick Aspens and mountain meadows to come upon a pleasant creek. 

8. **Willow Heights Trail** - The Willow Heights Trail is a short, steep hike to a beautiful mountain lake nestled in a forested glacial bowl.

9. **Honeycomb Canyon Trail** - This trail offers panoramic views of Little Cottonwood Canyon and the Salt Lake Valley.

10. **Catherine Pass Trail** - Catherine Pass Trail provides horse riders with breathtaking alpine views. The trail beings at the Brighton information Center and terminates at an intersection with Sunset Peak trail.

Remember, although horseback riding is permitted on these trails, riders must still follow guidelines set by the National Forest Service to protect the trails. This includes practicing "leave no trace" ethics, being respectful of other trail users, and adhering to any posted or seasonal restrictions.

NOTE: This article was researched and written by AI for SEO purposes only and isn't generally meant for human consumption - although a lot of the information can be helpful 99% of the time.  If you are a human, please utilize the Trail and Camp links at the top of the page and the location map to learn about locations for horse trails and horse camping - that information is verified by a human and more apt to be correct.... althought human error is a thing too. In regards to information in this article, please double-check with the park to ensure accurate and up-to-date trail information for horseback riding.