短信权限我也做了：
<!--接受短信权限 -->
<uses-permission android:name="android.permission.RECEIVE_SMS" />

接收短信的Action：

public static final String SMS_ACTION ="android.provider.Telephony.SMS_RECEIVED";

Service代码如下（主要问题：“Start Service” 的log是能发出去的，就是能成功注册Receiver吧，但接收短信时就是进不去onReceive，虚拟机和真机都试过了）

public class MsgService extends Service{
    private SmsReceiver receiver;
    @Override
    public IBinder onBind(Intent intent) {
        return null;
    }
    @Override
    public void onCreate(){
        super.onCreate();
        init();
    }
    private void init() {
        L.e("Start Service");
        //动态注册
        receiver = new SmsReceiver();
        IntentFilter intent = new IntentFilter();
        //添加Action
        intent.addAction(StaticClass.SMS_ACTION);
        //设置优先权
        intent.setPriority(Integer.MAX_VALUE);
        //注册
        registerReceiver(receiver, intent);
        L.e("Start Service");
    }
    @Override
    public void onDestroy(){
        super.onDestroy();
        L.e("Stop Service");
        unregisterReceiver(receiver);
    }
    public class SmsReceiver extends BroadcastReceiver{
        @Override
        public void onReceive(Context context, Intent intent) {
            L.e("Msg got.");//接收不到
            String action = intent.getAction();
            if(StaticClass.SMS_ACTION.equals(action)){
                L.e("Msg got.");//接收不到
            }
        }
    }
}