I'm interested in finding current, evidence based peer reviewed articles to validate any approach for improving listening comprehension for ESL students.
I’m pretty sure you’ll find helpful information and resources in these texts.
Gómez Álvarez, L., Sandoval Zúñiga, M. S., & Sáez Carrillo, K. (2012). Comprensión auditiva en inglés como L2: Efecto de la instrucción explícita de estrategias metacognitivas para su desarrollo. RLA. Revista de lingüística teórica y aplicada, 50(1), 69-93.
Khuziakhmetov, A. N., & Porchesku, G. V. (2016). Teaching Listening Comprehension: Bottom-Up Approach. International journal of environmental and science education, 11(8), 1989-2001.
Vandergrift, L. (1998). La métacognition et la compréhension auditive en langue seconde. Canadian Journal of Applied Linguistics, 1(1-2), 83-105.
Vandergrift, L., & Goh, C. (2009). 22 Teaching and Testing Listening Comprehension. The handbook of language teaching, 395-411.
Vasiljevic, Z. (2010). Dictogloss as an Interactive Method of Teaching Listening Comprehension to L2 Learners. English language teaching, 3(1), 41-52.
Safranj, J. (2015). Advancing listening comprehension through movies. Procedia-Social and Behavioral Sciences, 191, 169-173.
You might want to search for a meta-study or meta-analysis of listening comprehension in TEFL? A meta-study combines the results of all earlier empirical research on a given topic as a form of overall summary. They are frequently used for research on effects/outcomes, in either medicine or education studies. If any such study has been conducted so far, the information you are looking for should be in it!
I believe that speaking and listening are integrated skills. Therefore, possibly one of successful tasks to do with students which is talk face to face in classes. Such as talk about famous person and students need to guess who is the person and telling stories as well and so on.
There are many methods in the literature such as task-based listening, extensive listening, narrow listening, and dictogloss. I'd recommend the following textbook for listening instruction:
Vandergrift, L. & Goh, C. (2012). Teaching and learning second language listening: Metacognition in action. New York: Routledge.
Since research has suggested that vocabulary is the best predictor of listening comprehension, another approach is to improve students' listening vocabulary.