When I was doing high school Shakespeare some of it was simply straightforward, and some I had to bog my way through, but perhaps the important thing is that I enjoyed it. I also had a sponge memory so I could take the parts I liked with me.
I read the passage then line by line or line-group by group, I paraphrased the lines with a moment or two's thought about how best to convey the intent of the words as I perceived it. It was considered, not instant, in other words, but it wasn't hard.
But above you said, "I cannot even tell what the movies are saying after the first couple of minutes".
If you don't mind my asking, did you have any problem with lectures? With the TV news? With your tech books? What kind of fiction do you like to read? In what areas is it a problem?
No, I have no problems with lectures (although I have not heard any in Elizabethan English). None with TV news. None with technical readings. I read less fiction than I used to, but I go from Umberto Ecco to Milan Kundera, to Octavia Butler. I am fine with the plays of Ibsen to those of Aeschylus. I enjoy Sam Shepard plays. I have never read much poetry, often finding it flat and unmoving or simply not meaningful.
Shakespeare is unusual because his writings are so singular in this.
I have a LOT of trouble understanding the words of music. It is rare that I know the words to a song, even one I enjoy. And I find that I have very little music seeking behavior. What I do listen to (infrequently) is instrumental (Beethoven, Rachmaninoff, Tchaikovaski). I don't like Bach very much, but that might be PTSD from early church experiences.