Brian Head ski resort has two mountains, Navajo Peak which is almost exclusively beginner runs (with some intermediate and only one advanced run) and Brian Head Peak which is almost exclusively intermediate, advanced and expert runs.
Beginners and Intermediates:
The two separate mountain peaks with two separate skill levels allows the beginners on Navajo Peak to ski at their own pace without any fear of fast overtaking skiers and snow boarders rushing past them. It's also good for the ego, who is going to look that much better than you?
Navajo Mountain: primarily beginner "green" runs
Sunburst (blue run) off of Giant Steps lift
Hunter's Run (blue) off of Giant Steps lift
Sunburst / Bear Paw area (blue) off of Giant Steps lift
Aught (blue) off of Roulette lift
All the advanced terrain worth considering at Brian Head resort is on Brian Head Peak.
You will find the advanced runs to be gentle black diamond runs (nothing treacherous).
When the back country gates are open, Brian Head also offers a substantial variety of back country terrain.
Sun Spot (black diamond run) (take skiers right at the top of Alpen Glow lift)
First Tracks (black diamond run) (take skiers left at the top of Roulette lift)
Giant Steps (black diamond run) (Giant Steps lift line)
Accessible by hike from the summit only. Conditions may not be permissible.
Dark Hollow and Pillows are both very open "tree skiing areas".
Dark Hollow off of Roulette lift.
Pillows (Accessible from either Giant Steps or Roulette lift)
There appears to be no "signature mogul run". Moguls certainly may exist on the more advanced runs depending on conditions.
Out of Bounds:
Brian Head Resorts has accessible "off piste", "out of bounds" gates which will often provide for you access to untouched powder and the only way to find a double black diamond runs.
This of course is not patrolled, groomed or avalanche controlled.
Out of bounds areas are skied at your own risk.
Salt Lake Avalanche Advisory
Alpen Glow back country gate (skiers left off of the top of Alpen Glow lift)
Alpen Glow back country run
Devo's Pitch back country gate. Access from the top of Roulette lift. Leads you down the steep "Devo's Pitch" and then back into the resort run "Wild Ride".
Roulette back country gate. This is another access into the Devo's Pitch area.
Giant Steps back country gate. Note that it is quite a hike from here to any of the terrain at higher elevation.
Check with the ski patrol for guidance in this area.