How do I disable ngAria in ngMaterial?

Just add another tag aria-label="WriteHereAnyLabelYouLike" on md-checkbox and it will resolve the issue.

<md-checkbox type="checkbox" ng-model="account.accountant" class="md-primary" layout-align="end" ng-true-value="1" ng-false-value="0" aria-label="ShowHideAccountant" ></md-checkbox>

aria-label="WriteHereAnyLabelYouLike"

I think Salal Aslam's answer is better, but if you want to disable the Aria warnings temporarily you could just do a tweak on the console.warn override you suggested in the original question. Something like this perhaps:

console.realWarn = console.warn;
console.warn = function (message) {
    if (message.indexOf("ARIA") == -1) {
        console.realWarn.apply(console, arguments);
    }
};

Edit: for complex situations, more elaborate solutions may be required. Check out Shaun Scovil's Angular Quiet Console

Disabling messages globally is possible as of 1.1.0:

app.config(function($mdAriaProvider) {
   // Globally disables all ARIA warnings.
   $mdAriaProvider.disableWarnings();
});

(But do note the discussion in other answers about aria labels being important for accessibility!)

ngAria, to my knowledge, cannot be disabled and should not be disabled it is core part of angular-material.

To disable warnings you can add aria-label="..." to the specific following items

• input
• md-button
• md-dialog
• md-icon
• md-checkbox
• md-radio-button
• md-slider
• md-switch

I think, I have covered all of them, but there might be other so watch-out!