Submitted by Mikey Sklar:

The Virgin River Rim Trail is a 32-mile point-to-point route near Cedar City, UT.  Mostly single track. The west starting/ending point is considered to be at Woods Ranch parking lot, near Cedar City, UT. The east starting/ending point is near Strawberry Point, UT. Although the trail begins about a mile away from Strawberry Point, the route should begin/end at the restroom parking area at Strawberry Point. 

Here's a description from Google Translate:

The Harzer BaudenSteig connects the most beautiful forest restaurants and mountain guest houses (Bauden) of the Harzer Sonnenseite and offers a hiking experience with wonderful rest stops. It leads hikers on 6 stages approx. 100 km from Bad Grund to the monastery Walkenried.

A 22-mile loop around Broken Top Mountain, which is popular with backpackers.

We also have a route page for the ascent/round-trip on Broken Top.