There is. It's called Miracast. It's great. It works even without connecting to an access point. Pretty much every major TV manufacturer supports it, and Samsung has it pre-installed on their phones. For phones that don't ship with support installed, like iPhones and Google Pixel phones, it's possible to install software to add support.
The Wii U used it to send video to the gamepad, and it's fast, low latency, and reliable. The real question is how did we get to the point that such a widespread standard supported by TV manufacturers and even used by Nintendo, who can't even follow the USB-IF standards, has been so long avoided by the Apple/Google duopoly.