There's quite a few places that have them, but don't prioritize bridge height. The other Himalayan countries (India, Nepal, Pakistan, etc) have similar terrain, but prefer vastly cheaper slope-hugging roads, and tunnels with shorter bridges. Not to mention the danger of winter winds in Himalayan canyons.

The US or Mexico could build a bridge over the deeper bits of their national canyons and hold the undisputed crown, but won't.