The picture looks as good as the day I bought it so why would I throw it away?
But even by modern standards, CRTs are widely considered better looking for games. Not just retro consoles where the sprites were designed to take advantage of the blurring effect (thus using the limitations of the display to create new colours and emulate alpha blending) but also many modern gamers are starting to see the appeal of CRTs too because it means they can run their games at lower resolutions without them looking pixelated and turn all the rendering effects up to max.
I don't have a great reason for keeping it to be honest. It's probably a dash of the memories it triggers when I look at it, a dash of respect for its ability to have survived multiple moves and 20+ years of not getting thrown away, and a dash of not being an inconvenience to keep around.
It came in handy a few years ago when I was testing the coax cables/attic antenna network I ran in the house. Much easier to carry around than the 50" lcd mounted on the wall.