I'd like to know if there is a way to hear ATC and pilots' communications, with subtitles.
Not live with subtitles, but there are certainly plenty of ATC/pilot recordings on youtube https://www.youtube.com/results?search_query=atc+conversations
Plus Live ATC streams. I can't access these (lousy cell phone coverage), give them a try. https://www.liveatc.net/topfeeds.php
If you want an easy way to read the standard communications rather than listening to them, the US National Transportation Safety Board (NTSB.GOV) reports have written Voice Cockpit Recorder (VCR) transcriptions at the end of the Report in an Appendix.
That will include communications with Towers, Centers, and other Aircraft. This is because the NTSB is legally prevented from releasing the audio recovered from the VCR. Recordings made from popular shows like "Maday" or "Air Disasters" are made by actors performing the written transcript and are not the the voices you would hear on the actual recorder from a given event.
This CVR Handbook PDF explains how the data can be used by the NTSB.
Because this is a law, and specifically covered by that law is the reason why it cannot be requested via a Freedom of Information Act (FOIA) requests, unlike more mundane 911 calls.