You could actually just take one or two sessions with a teacher on Italki :D I've been taking Japanese lessons and my teacher can speak way faster to me now than she could in the beginning.
If you don't want to spend money, here's a method I used for a while: watch 10 minutes of the show without subtitles, then re-watch it with subtitles. You could even re-watch it several times! It takes a lot of time but it's effective and gets you used to the speed. I would recommend just one specific show where you practice this method, because it would be too annoying if you practiced this with all of your shows. For example, I do my listening practice with ONLY HunterXHunter. Sorry for the long message!