Flatscreen between speakers

Pull your speakers out when listening. They should be a few feet out from your TV. So many HT (mine as well) have the speakers in-line or just in front of the TV. 

Have has great luck with heavy HT curtains, they work so well for windows, maybe put a rod above the TV, and close the curtains over the TV when not in use. They also look good. 

I do have a thin foam cover over mine but I also do something else. The screen being parallel to your listening position is a big part of the problem. Mine is on a swivel and I position it on about a 30' angle so it's reflection is scattered in another direction. This reduces the vocal glare tremendously. 

I don't use the TV often so I'll sometimes forget to reorient it. But it's immediately apparent when I listen to music and when I swivel the screen it goes away. 

"I always have Plasma." 

I'm an outlier. 20 year old Plasma and picture still crisp as day one(probably cause it doesn't get used much) 

Not a suggestion, but my remedy is the Plasma is on a rollaway. On movie night roll it in, a couple of connections, and I have insta home theater. 

Never cared for seeing a TV in a living space when it's not being used.

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A projection screen or no screen if music is the top priority.

+1 projection screen, you beat me to it :)

That said, 2-channel and HT should not share a system, or a room if possible. I do realize folks living in NYC apartments will have to share space, but when that's the case it’s definitely best to segregate speakers and electronics.