Injecting services in custom ErrorHandler causes "Cannot instantiate cyclic dependency!" error, how can I fix this?

You can use this workaround to break up cyclic dependencies with DI

@Injectable()
export class MyErrorHandler implements ErrorHandler {
  private _appLog: AppLog;
  constructor (injector:Injector) {
    setTimeout(() => this._appLog = injector.get(AppLog));
  }
  ...
}

Angulars DI itself just doesn't support cyclic dependencies.

The ErrorHandler is created before the providers. So we need Injector for dependency injection in our custom error handler class.

@Injectable()
export class MyErrorHandler implements ErrorHandler{
   constructor(private injector: Injector) { } 
  handleError(error: any) {
      let router = this.injector.get(ServiceName);

    }
}

Create a default service via Angular cli and check the first part see providedIn: 'root',

@Injectable({
  providedIn: 'root',
})
export class CustomService{
  constructor(private otherService: OtherService) { // ok not failed } 
}

For more detail check angular @Injectable-level configuration

@NgModule-level injectors You can configure a provider at the module level using the providers metadata option for a non-root NgModule, in order to limit the scope of the provider to that module. This is the equivalent of specifying the non-root module in the @Injectable() metadata, except that the service provided via providers is not tree-shakable.