Алексей Немиро

Поиск и замена?
return $sce.trustAsHtml(text.replace(/\\/g, ''));
Можно отдельный фильтр для этого сделать :-)

Набросал пример, у меня слеш и так не выводится:

<div ng-app="app">
  <div ng-controller="ExampleController">
    <p ng-bind-html="text | trusted"></p>
  </div>
</div>

angular.module('app', []).controller('ExampleController', function($scope) {
  $scope.text = "A GREAT LOT, THIS IS THE ONE YOU\'VE BEEN LOOKING FOR";
}).filter('trusted', ['$sce', function ($sce) {
  return function (text) {
    return $sce.trustAsHtml(text); // $sce.trustAsHtml(text.replace(/\\/g, ''));
  };
}]);

angular-bind-html-compile

(function (angular) {
    'use strict';

    var module = angular.module('angular-bind-html-compile', []);

    module.directive('bindHtmlCompile', ['$compile', function ($compile) {
        return {
            restrict: 'A',
            link: function (scope, element, attrs) {
                scope.$watch(function () {
                    return scope.$eval(attrs.bindHtmlCompile);
                }, function (value) {
                    // In case value is a TrustedValueHolderType, sometimes it
                    // needs to be explicitly called into a string in order to
                    // get the HTML string.
                    element.html(value && value.toString());
                    // If scope is provided use it, otherwise use parent scope
                    var compileScope = scope;
                    if (attrs.bindHtmlScope) {
                        compileScope = scope.$eval(attrs.bindHtmlScope);
                    }
                    $compile(element.contents())(compileScope);
                });
            }
        };
    }]);
}(window.angular));

Использование:

var app = angular.module('myApp',['ngMaterial', 'ngSanitize', 'angular-bind-html-compile']);
app.controller("My", ['$scope', '$http', function ($scope, $http) {
  $scope.banner = '<md-progress-circular md-diameter="96"></md-progress-circular>'
}]);

bind-html-compile вместо ng-bind-html.

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