The torah talks about people encountering angels -- celestial creations by Hashem like Gavriel and others. (For example, Avraham, Yaakov, and Moshe encounter these beings.) And in the Talmud and Kabbala there are other commonly known names of angels like Uriel, Reziel, Metatron, and Laila. What about angels today -- do they speak to the Jewish people today? Where are the messengers from Hashem? For example, is there a Rabbi out there who says: An Angel came to me and said...?
Strangely enough, while looking through a book today that I am reviewing for a different question, I saw an answer to your exact question. The book is called Sefer HaGematriot by Rabbi Yehudah HaChassid.
In the second volume, parshat Vayeitzei, 9, it discusses this subject. It explains that specifically with those you enumerate, Avraham, Yaacov and Moshe, the Torah uses a 'Ta'am', a diacritical mark for proper reading, called 'pasek' in connection with the doubling of their names in specific pasukim where G-d and His angels spoke to them.
The mark, pasek, means to pause. Rabbi Yehudah explains that from this mark we are to learn and to know that not a single generation passes where there is not one individual from the Jewish people to whom G-d and His angels speaks just like these individuals.
It doesn't mention the title of Rabbi. That doesn't mean Rabbis would be excluded. Originally, the concept of 'semichah', what bestows the title of Rabbi, was the process of connecting to the blessing and empowerment of Moshe to Yehoshua.
But it isn't limited to Rabbis. Moshe also passed along prophecy. That is a completely different path. And as indicated in the text from Rabbi Yehudah, this list also includes Shmuel the Prophet.
in shaarei kedusha intro
"And there are those among them which would swear in angels using the powers in holy names.. they desired lofty levels, close to prophecy, and therefore they put themselves in some danger. And for us, would that it were that we would merit a little Ruach HaKodesh such as a revelation of Eliyahu HaNavi (Elijah the prophet), which many merited to see him as is well known, or for a revelation from the soul of tzadikim, as mentioned many times in the book of tikunim. And not only that but even in our times I have seen holy men who merited all these things. And there are some whose own soul after becoming very, very, pure, reveals itself to him and guides him in all his ways. And all these are close ways, that one can merit even in our times if he is worthy. But, however, it requires great training and great experience to stand on the truth, because perhaps it is another spirit that came to him which is not pure.
he says later on that one must hide his levels which is presumably why such people don't talk freely about this stuff.
According to the Rambam all instances of descriptions of people encountering angles are actually events which only happened within the mind of the person experiencing the events.