I highly recommend All Blues over in Tribeca. That's my favorite I've been to, great drinks as well
It's not a listening bar, but if you like horns speakers, the Ojas Listening Space is nice, but you might want to email them first. I went during the release of his last speaker, so it's was open all during the week, and I had a nice time just listening for a good 60 minutes.
https://us.usm.com/blogs/journal-home/devon-turnbull-ojas-listening-room