North America:
* Grand Canyon: Arizona, USA
* Bryce Canyon: Utah, USA
* Zion Canyon: Utah, USA
* Black Canyon of the Gunnison: Colorado, USA
* Royal Gorge: Colorado, USA
* Horseshoe Bend: Arizona, USA
* Antelope Canyon: Arizona, USA
* Red Rock Canyon National Conservation Area: Nevada, USA
* Canyonlands National Park: Utah, USA
* Grand Staircase-Escalante National Monument: Utah, USA
* Yellowstone Grand Canyon: Wyoming, USA
* Niagara Gorge: New York, USA
South America:
* Colca Canyon: Peru
* Cotahuasi Canyon: Peru
* Cañón del Chicamocha: Colombia
* Cañón del Sumidero: Mexico
Europe:
* Verdon Gorge: France
* Tara Canyon: Montenegro
* Durmitor National Park: Montenegro
* Vikos Gorge: Greece
* Samaria Gorge: Crete, Greece
* Iron Gate Gorge: Serbia and Romania
Asia:
* Tiger Leaping Gorge: China
* Yarlung Tsangpo Grand Canyon: Tibet, China
* Fish River Canyon: Namibia
* Blyde River Canyon: South Africa
* Wadi Rum: Jordan
Africa:
* Fish River Canyon: Namibia
* Blyde River Canyon: South Africa
* Wadi Rum: Jordan
* Grand Canyon of the Zambezi: Zimbabwe
Australia:
* Kings Canyon: Northern Territory
* Fitzroy Gorge National Park: Queensland
This is just a small selection of famous and notable canyons worldwide. There are many more canyons, both large and small, around the globe.
You can find more specific lists of canyons by location or type by searching online.