Haystack Mountain (11,641 ft) is a prominent peak in the LaSal Mountain range just outside of Moab, UT. The LaSal Mountains are the 2nd highest mountain range in Utah, behind the Uinta Mountains.
Thaynes Canyon Peak (8,656 ft) is a high point in Millcreek Canyon - not many people summit this peak, as it is not well known and fairly steep.
Frisco Peak (9,660 ft) is the peak above Frisco, UT and can be seen from Milford, UT. It's on the list of Utah Peaks with 25 miles of Isolation, so not many people seek out this area for hiking. m.
The South Ridge to Mt.Wire can be hiked year round, and overlooks the University of Utah, Emigration Canyon, and Red Butte Canyon. Unfortunately, Mt.Wire isn't much to look at. But what this little hill lacks in prestige, it more than makes up for with steep trails, nice views of the valley, and a spacious top to stretch out and enjoy the scenery. Plus, if you are brave enough, you can climb up the old radio tower! There are two main routes to get to the summit - this way up past The Living Room, or up the South Ridge, the route I will be describing.
Frary Peak on Antelope Island State Park is not only the highest point on the island, but also a beautiful trail that offers 360 degree views of the Great Salt Lake, the Wasatch Mountains, and views of the cities.
Flat Top Mountain (10,620 ft) is the highest peak in the Oquirrh Mountains (pronounced like "oaker") in Utah, which lies to the southwest of Salt Lake City. Most of the Oquirrhs are private property and mining land for the Rio Tinto Kennecott Mine, however the two areas you are allowed to hike are in Butterfield Canyon, and the Flat Top Mountain trail (update: 2019 land access below). Flat Top Mountain has a prominence of 5,370 ft, making it Utah's 6th highest prominent peak.
Mt.Elliott (7,142 ft) is located along the Book Cliff Mountains, in between Price, Utah and I-70. Ever driven to Moab from SLC? Then you've passed this peak and know exactly where it is! Near the town of Woodside, UT there is an abandoned gas station with people sometimes selling jerky. Look directly up and SW, and you'll see this pointy peak clearly. You can't miss it, it sticks out because of it's jagged yet isolated summit. This obscure peak ranks #24 out of 29 on the Utah Country Prominence Peak list, and because of its low popularity, only a handful of people will make it to the summit each year.