How to parse JSON response from Alamofire API in Swift?

The answer for Swift 2.0 Alamofire 3.0 should actually look more like this:

Alamofire.request(.POST, url, parameters: parameters, encoding:.JSON).responseJSON
{ response in switch response.result {
                case .Success(let JSON):
                    print("Success with JSON: \(JSON)")

                    let response = JSON as! NSDictionary

                    //example if there is an id
                    let userId = response.objectForKey("id")!

                case .Failure(let error):
                    print("Request failed with error: \(error)")
                }
    }

https://github.com/Alamofire/Alamofire/blob/master/Documentation/Alamofire%203.0%20Migration%20Guide.md

UPDATE for Alamofire 4.0 and Swift 3.0 :

Alamofire.request(url, method: .post, parameters: parameters, encoding: JSONEncoding.default)
            .responseJSON { response in
                print(response)
//to get status code
                if let status = response.response?.statusCode {
                    switch(status){
                    case 201:
                        print("example success")
                    default:
                        print("error with response status: \(status)")
                    }
                }
//to get JSON return value
            if let result = response.result.value {
                let JSON = result as! NSDictionary
                print(JSON)
            }

        }