People don't wax poetic about the Met Cafe in the same way they do about the Crossroads Inn or the Red Rock Supper Club. That could be because the Met was the domain of an older generation that is no longer (or barely still) with us. The Met must have closed sometime around the mid-1970s so it has been gone for quite a while now.
I barely remember going there. I think my grandparents used to take us (my parents included) to dinner their every once in a while. I would have been just a little kid.
The Met had a casual diner side (on the left as you entered) and a more formal, fancy dining side on the right. I believe that possibly on Sunday nights (which is when we were most likely to go there) the casual side would be closed and you had to eat on the fancy side.
Being the picky eater that I was I wanted to eat from the casual diner menu and probably would have been content with just an order of toast and jelly. If I recall correctly they wouldn't serve from the diner menu if you were seated in the fancy dining room and so I was out of luck when it came to getting toast and jelly. For that reason news of going to dinner at "The Met" was never received well by me. "Ahhhh, do we have to?"
My only other vague memory of the Met Cafe was it seems like there was a back entrance or hallway. When dinner was over and the adults were lingering and visiting, us kids would roam around some. I seem to recall there was a gumball machine or two in that back stairway or entrance where we could go spend a few pennies.